倒数之和为1
有6个不同的自然数，它们的倒数之和为1，求这6个自然数1/{\(\ \ \)}+1/{\(\ \ \)}+1/{\(\ \ \)}+1/{\(\ \ \)}+1/{\(\ \ \)}+1/{\(\ \ \)}=1
我是没有解出来，但现在我已经知道答案了
看看大家如何解，再公布答案 数字最大（或字典序最小）的解：
$1/2+1/3+1/7+1/43+1/1807+1/3263442=1$
不知道数字最小的解是多少。 1/2+1/3+1/9+1/27+1/81+1/162=1
1/2=1/3+1/6
1=1/2+1/3+1/6
=1/2+1/3+(1/3)*(1/3+1/6)
=1/2+1/3+1/9+(1/9)*(1/3+1/6)
=……
=1/2+1/3+1/9+1/27+1/81+1/162 调出我十多年前用VB开发的《埃及分数分解》程序，设定“禁止重复真分数”及分解分数分母上限=162，得到的结果如下：No.1 1 = 1/2 + 1/3 + 1/7 + 1/96 + 1/140 + 1/160
No.2 1 = 1/2 + 1/3 + 1/7 + 1/100 + 1/140 + 1/150
No.3 1 = 1/2 + 1/3 + 1/7 + 1/108 + 1/135 + 1/140
No.4 1 = 1/2 + 1/3 + 1/7 + 1/110 + 1/132 + 1/140
No.5 1 = 1/2 + 1/3 + 1/7 + 1/112 + 1/126 + 1/144
No.6 1 = 1/2 + 1/3 + 1/8 + 1/36 + 1/136 + 1/153
No.7 1 = 1/2 + 1/3 + 1/8 + 1/38 + 1/114 + 1/152
No.8 1 = 1/2 + 1/3 + 1/8 + 1/39 + 1/104 + 1/156
No.9 1 = 1/2 + 1/3 + 1/8 + 1/39 + 1/120 + 1/130
No.10 1 = 1/2 + 1/3 + 1/8 + 1/40 + 1/96 + 1/160
No.11 1 = 1/2 + 1/3 + 1/8 + 1/40 + 1/100 + 1/150
No.12 1 = 1/2 + 1/3 + 1/8 + 1/40 + 1/105 + 1/140
No.13 1 = 1/2 + 1/3 + 1/8 + 1/40 + 1/108 + 1/135
No.14 1 = 1/2 + 1/3 + 1/8 + 1/40 + 1/110 + 1/132
No.15 1 = 1/2 + 1/3 + 1/8 + 1/42 + 1/88 + 1/154
No.16 1 = 1/2 + 1/3 + 1/8 + 1/42 + 1/105 + 1/120
No.17 1 = 1/2 + 1/3 + 1/8 + 1/44 + 1/88 + 1/132
No.18 1 = 1/2 + 1/3 + 1/8 + 1/45 + 1/80 + 1/144
No.19 1 = 1/2 + 1/3 + 1/8 + 1/45 + 1/90 + 1/120
No.20 1 = 1/2 + 1/3 + 1/8 + 1/48 + 1/72 + 1/144
No.21 1 = 1/2 + 1/3 + 1/8 + 1/48 + 1/80 + 1/120
No.22 1 = 1/2 + 1/3 + 1/8 + 1/48 + 1/84 + 1/112
No.23 1 = 1/2 + 1/3 + 1/8 + 1/50 + 1/75 + 1/120
No.24 1 = 1/2 + 1/3 + 1/8 + 1/51 + 1/68 + 1/136
No.25 1 = 1/2 + 1/3 + 1/8 + 1/52 + 1/72 + 1/117
No.26 1 = 1/2 + 1/3 + 1/8 + 1/52 + 1/78 + 1/104
No.27 1 = 1/2 + 1/3 + 1/8 + 1/54 + 1/72 + 1/108
No.28 1 = 1/2 + 1/3 + 1/8 + 1/55 + 1/66 + 1/120
No.29 1 = 1/2 + 1/3 + 1/8 + 1/56 + 1/60 + 1/140
No.30 1 = 1/2 + 1/3 + 1/8 + 1/56 + 1/63 + 1/126
No.31 1 = 1/2 + 1/3 + 1/8 + 1/56 + 1/70 + 1/105
No.32 1 = 1/2 + 1/3 + 1/8 + 1/56 + 1/78 + 1/91
No.33 1 = 1/2 + 1/3 + 1/8 + 1/60 + 1/65 + 1/104
No.34 1 = 1/2 + 1/3 + 1/8 + 1/60 + 1/72 + 1/90
No.35 1 = 1/2 + 1/3 + 1/8 + 1/63 + 1/72 + 1/84
No.36 1 = 1/2 + 1/3 + 1/9 + 1/24 + 1/136 + 1/153
No.37 1 = 1/2 + 1/3 + 1/9 + 1/26 + 1/99 + 1/143
No.38 1 = 1/2 + 1/3 + 1/9 + 1/27 + 1/81 + 1/162
No.39 1 = 1/2 + 1/3 + 1/9 + 1/27 + 1/90 + 1/135
No.40 1 = 1/2 + 1/3 + 1/9 + 1/28 + 1/84 + 1/126
No.41 1 = 1/2 + 1/3 + 1/9 + 1/30 + 1/70 + 1/126
No.42 1 = 1/2 + 1/3 + 1/9 + 1/30 + 1/72 + 1/120
No.43 1 = 1/2 + 1/3 + 1/9 + 1/32 + 1/72 + 1/96
No.44 1 = 1/2 + 1/3 + 1/9 + 1/33 + 1/66 + 1/99
No.45 1 = 1/2 + 1/3 + 1/9 + 1/33 + 1/72 + 1/88
No.46 1 = 1/2 + 1/3 + 1/9 + 1/34 + 1/51 + 1/153
No.47 1 = 1/2 + 1/3 + 1/9 + 1/35 + 1/63 + 1/90
No.48 1 = 1/2 + 1/3 + 1/9 + 1/36 + 1/48 + 1/144
No.49 1 = 1/2 + 1/3 + 1/9 + 1/36 + 1/52 + 1/117
No.50 1 = 1/2 + 1/3 + 1/9 + 1/36 + 1/54 + 1/108
No.51 1 = 1/2 + 1/3 + 1/9 + 1/36 + 1/60 + 1/90
No.52 1 = 1/2 + 1/3 + 1/9 + 1/36 + 1/63 + 1/84
No.53 1 = 1/2 + 1/3 + 1/9 + 1/39 + 1/45 + 1/130
No.54 1 = 1/2 + 1/3 + 1/9 + 1/40 + 1/45 + 1/120
No.55 1 = 1/2 + 1/3 + 1/9 + 1/40 + 1/60 + 1/72
No.56 1 = 1/2 + 1/3 + 1/9 + 1/42 + 1/45 + 1/105
No.57 1 = 1/2 + 1/3 + 1/9 + 1/42 + 1/56 + 1/72
No.58 1 = 1/2 + 1/3 + 1/9 + 1/45 + 1/48 + 1/80
No.59 1 = 1/2 + 1/3 + 1/9 + 1/45 + 1/50 + 1/75
No.60 1 = 1/2 + 1/3 + 1/9 + 1/45 + 1/55 + 1/66
No.61 1 = 1/2 + 1/3 + 1/10 + 1/20 + 1/96 + 1/160
No.62 1 = 1/2 + 1/3 + 1/10 + 1/20 + 1/100 + 1/150
No.63 1 = 1/2 + 1/3 + 1/10 + 1/20 + 1/105 + 1/140
No.64 1 = 1/2 + 1/3 + 1/10 + 1/20 + 1/108 + 1/135
No.65 1 = 1/2 + 1/3 + 1/10 + 1/20 + 1/110 + 1/132
No.66 1 = 1/2 + 1/3 + 1/10 + 1/21 + 1/84 + 1/140
No.67 1 = 1/2 + 1/3 + 1/10 + 1/21 + 1/90 + 1/126
No.68 1 = 1/2 + 1/3 + 1/10 + 1/22 + 1/90 + 1/99
No.69 1 = 1/2 + 1/3 + 1/10 + 1/23 + 1/69 + 1/115
No.70 1 = 1/2 + 1/3 + 1/10 + 1/24 + 1/56 + 1/140
No.71 1 = 1/2 + 1/3 + 1/10 + 1/24 + 1/60 + 1/120
No.72 1 = 1/2 + 1/3 + 1/10 + 1/24 + 1/65 + 1/104
No.73 1 = 1/2 + 1/3 + 1/10 + 1/24 + 1/72 + 1/90
No.74 1 = 1/2 + 1/3 + 1/10 + 1/25 + 1/50 + 1/150
No.75 1 = 1/2 + 1/3 + 1/10 + 1/25 + 1/60 + 1/100
No.76 1 = 1/2 + 1/3 + 1/10 + 1/26 + 1/65 + 1/78
No.77 1 = 1/2 + 1/3 + 1/10 + 1/27 + 1/45 + 1/135
No.78 1 = 1/2 + 1/3 + 1/10 + 1/27 + 1/54 + 1/90
No.79 1 = 1/2 + 1/3 + 1/10 + 1/28 + 1/42 + 1/140
No.80 1 = 1/2 + 1/3 + 1/10 + 1/28 + 1/60 + 1/70
No.81 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/39 + 1/130
No.82 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/40 + 1/120
No.83 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/42 + 1/105
No.84 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/45 + 1/90
No.85 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/48 + 1/80
No.86 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/50 + 1/75
No.87 1 = 1/2 + 1/3 + 1/10 + 1/30 + 1/55 + 1/66
No.88 1 = 1/2 + 1/3 + 1/10 + 1/32 + 1/40 + 1/96
No.89 1 = 1/2 + 1/3 + 1/10 + 1/33 + 1/40 + 1/88
No.90 1 = 1/2 + 1/3 + 1/10 + 1/35 + 1/42 + 1/70
No.91 1 = 1/2 + 1/3 + 1/10 + 1/35 + 1/45 + 1/63
No.92 1 = 1/2 + 1/3 + 1/10 + 1/36 + 1/40 + 1/72
No.93 1 = 1/2 + 1/3 + 1/10 + 1/36 + 1/45 + 1/60
No.94 1 = 1/2 + 1/3 + 1/10 + 1/40 + 1/42 + 1/56
No.95 1 = 1/2 + 1/3 + 1/11 + 1/18 + 1/90 + 1/110
No.96 1 = 1/2 + 1/3 + 1/11 + 1/20 + 1/55 + 1/132
No.97 1 = 1/2 + 1/3 + 1/11 + 1/20 + 1/60 + 1/110
No.98 1 = 1/2 + 1/3 + 1/11 + 1/21 + 1/66 + 1/77
No.99 1 = 1/2 + 1/3 + 1/11 + 1/22 + 1/42 + 1/154
No.100 1 = 1/2 + 1/3 + 1/11 + 1/22 + 1/44 + 1/132
No.101 1 = 1/2 + 1/3 + 1/11 + 1/24 + 1/40 + 1/110
No.102 1 = 1/2 + 1/3 + 1/11 + 1/24 + 1/44 + 1/88
No.103 1 = 1/2 + 1/3 + 1/11 + 1/26 + 1/33 + 1/143
No.104 1 = 1/2 + 1/3 + 1/12 + 1/15 + 1/96 + 1/160
No.105 1 = 1/2 + 1/3 + 1/12 + 1/15 + 1/100 + 1/150
No.106 1 = 1/2 + 1/3 + 1/12 + 1/15 + 1/105 + 1/140
No.107 1 = 1/2 + 1/3 + 1/12 + 1/15 + 1/108 + 1/135
No.108 1 = 1/2 + 1/3 + 1/12 + 1/15 + 1/110 + 1/132
No.109 1 = 1/2 + 1/3 + 1/12 + 1/16 + 1/72 + 1/144
No.110 1 = 1/2 + 1/3 + 1/12 + 1/16 + 1/80 + 1/120
No.111 1 = 1/2 + 1/3 + 1/12 + 1/16 + 1/84 + 1/112
No.112 1 = 1/2 + 1/3 + 1/12 + 1/17 + 1/68 + 1/102
No.113 1 = 1/2 + 1/3 + 1/12 + 1/18 + 1/48 + 1/144
No.114 1 = 1/2 + 1/3 + 1/12 + 1/18 + 1/52 + 1/117
No.115 1 = 1/2 + 1/3 + 1/12 + 1/18 + 1/54 + 1/108
No.116 1 = 1/2 + 1/3 + 1/12 + 1/18 + 1/60 + 1/90
No.117 1 = 1/2 + 1/3 + 1/12 + 1/18 + 1/63 + 1/84
No.118 1 = 1/2 + 1/3 + 1/12 + 1/19 + 1/57 + 1/76
No.119 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/39 + 1/130
No.120 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/40 + 1/120
No.121 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/42 + 1/105
No.122 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/45 + 1/90
No.123 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/48 + 1/80
No.124 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/50 + 1/75
No.125 1 = 1/2 + 1/3 + 1/12 + 1/20 + 1/55 + 1/66
No.126 1 = 1/2 + 1/3 + 1/12 + 1/21 + 1/35 + 1/140
No.127 1 = 1/2 + 1/3 + 1/12 + 1/21 + 1/36 + 1/126
No.128 1 = 1/2 + 1/3 + 1/12 + 1/21 + 1/42 + 1/84
No.129 1 = 1/2 + 1/3 + 1/12 + 1/21 + 1/44 + 1/77
No.130 1 = 1/2 + 1/3 + 1/12 + 1/22 + 1/33 + 1/132
No.131 1 = 1/2 + 1/3 + 1/12 + 1/22 + 1/36 + 1/99
No.132 1 = 1/2 + 1/3 + 1/12 + 1/22 + 1/44 + 1/66
No.133 1 = 1/2 + 1/3 + 1/12 + 1/24 + 1/30 + 1/120
No.134 1 = 1/2 + 1/3 + 1/12 + 1/24 + 1/32 + 1/96
No.135 1 = 1/2 + 1/3 + 1/12 + 1/24 + 1/33 + 1/88
No.136 1 = 1/2 + 1/3 + 1/12 + 1/24 + 1/36 + 1/72
No.137 1 = 1/2 + 1/3 + 1/12 + 1/24 + 1/40 + 1/60
No.138 1 = 1/2 + 1/3 + 1/12 + 1/24 + 1/42 + 1/56
No.139 1 = 1/2 + 1/3 + 1/12 + 1/25 + 1/30 + 1/100
No.140 1 = 1/2 + 1/3 + 1/12 + 1/26 + 1/39 + 1/52
No.141 1 = 1/2 + 1/3 + 1/12 + 1/27 + 1/36 + 1/54
No.142 1 = 1/2 + 1/3 + 1/12 + 1/28 + 1/30 + 1/70
No.143 1 = 1/2 + 1/3 + 1/12 + 1/30 + 1/36 + 1/45
No.144 1 = 1/2 + 1/3 + 1/13 + 1/14 + 1/84 + 1/156
No.145 1 = 1/2 + 1/3 + 1/13 + 1/15 + 1/60 + 1/156
No.146 1 = 1/2 + 1/3 + 1/13 + 1/15 + 1/65 + 1/130
No.147 1 = 1/2 + 1/3 + 1/13 + 1/16 + 1/48 + 1/156
No.148 1 = 1/2 + 1/3 + 1/13 + 1/18 + 1/36 + 1/156
No.149 1 = 1/2 + 1/3 + 1/13 + 1/18 + 1/39 + 1/117
No.150 1 = 1/2 + 1/3 + 1/13 + 1/20 + 1/30 + 1/156
No.151 1 = 1/2 + 1/3 + 1/13 + 1/21 + 1/28 + 1/156
No.152 1 = 1/2 + 1/3 + 1/13 + 1/24 + 1/26 + 1/104
No.153 1 = 1/2 + 1/3 + 1/14 + 1/15 + 1/60 + 1/84
No.154 1 = 1/2 + 1/3 + 1/14 + 1/16 + 1/42 + 1/112
No.155 1 = 1/2 + 1/3 + 1/14 + 1/16 + 1/48 + 1/84
No.156 1 = 1/2 + 1/3 + 1/14 + 1/18 + 1/35 + 1/90
No.157 1 = 1/2 + 1/3 + 1/14 + 1/18 + 1/36 + 1/84
No.158 1 = 1/2 + 1/3 + 1/14 + 1/18 + 1/42 + 1/63
No.159 1 = 1/2 + 1/3 + 1/14 + 1/20 + 1/28 + 1/105
No.160 1 = 1/2 + 1/3 + 1/14 + 1/20 + 1/30 + 1/84
No.161 1 = 1/2 + 1/3 + 1/14 + 1/20 + 1/35 + 1/60
No.162 1 = 1/2 + 1/3 + 1/14 + 1/21 + 1/28 + 1/84
No.163 1 = 1/2 + 1/3 + 1/14 + 1/21 + 1/30 + 1/70
No.164 1 = 1/2 + 1/3 + 1/14 + 1/24 + 1/28 + 1/56
No.165 1 = 1/2 + 1/3 + 1/14 + 1/24 + 1/35 + 1/40
No.166 1 = 1/2 + 1/3 + 1/15 + 1/16 + 1/32 + 1/160
No.167 1 = 1/2 + 1/3 + 1/15 + 1/16 + 1/35 + 1/112
No.168 1 = 1/2 + 1/3 + 1/15 + 1/16 + 1/40 + 1/80
No.169 1 = 1/2 + 1/3 + 1/15 + 1/16 + 1/48 + 1/60
No.170 1 = 1/2 + 1/3 + 1/15 + 1/17 + 1/34 + 1/85
No.171 1 = 1/2 + 1/3 + 1/15 + 1/18 + 1/27 + 1/135
No.172 1 = 1/2 + 1/3 + 1/15 + 1/18 + 1/30 + 1/90
No.173 1 = 1/2 + 1/3 + 1/15 + 1/18 + 1/35 + 1/63
No.174 1 = 1/2 + 1/3 + 1/15 + 1/18 + 1/36 + 1/60
No.175 1 = 1/2 + 1/3 + 1/15 + 1/20 + 1/24 + 1/120
No.176 1 = 1/2 + 1/3 + 1/15 + 1/20 + 1/25 + 1/100
No.177 1 = 1/2 + 1/3 + 1/15 + 1/20 + 1/28 + 1/70
No.178 1 = 1/2 + 1/3 + 1/15 + 1/20 + 1/30 + 1/60
No.179 1 = 1/2 + 1/3 + 1/15 + 1/20 + 1/36 + 1/45
No.180 1 = 1/2 + 1/3 + 1/15 + 1/21 + 1/28 + 1/60
No.181 1 = 1/2 + 1/3 + 1/15 + 1/21 + 1/35 + 1/42
No.182 1 = 1/2 + 1/3 + 1/15 + 1/24 + 1/30 + 1/40
No.183 1 = 1/2 + 1/3 + 1/16 + 1/18 + 1/24 + 1/144
No.184 1 = 1/2 + 1/3 + 1/16 + 1/18 + 1/36 + 1/48
No.185 1 = 1/2 + 1/3 + 1/16 + 1/20 + 1/24 + 1/80
No.186 1 = 1/2 + 1/3 + 1/16 + 1/20 + 1/30 + 1/48
No.187 1 = 1/2 + 1/3 + 1/16 + 1/21 + 1/28 + 1/48
No.188 1 = 1/2 + 1/3 + 1/18 + 1/20 + 1/30 + 1/36
No.189 1 = 1/2 + 1/3 + 1/18 + 1/21 + 1/28 + 1/36
No.190 1 = 1/2 + 1/3 + 1/20 + 1/21 + 1/28 + 1/30
No.191 1 = 1/2 + 1/4 + 1/5 + 1/29 + 1/116 + 1/145
No.192 1 = 1/2 + 1/4 + 1/5 + 1/30 + 1/96 + 1/160
No.193 1 = 1/2 + 1/4 + 1/5 + 1/30 + 1/100 + 1/150
No.194 1 = 1/2 + 1/4 + 1/5 + 1/30 + 1/105 + 1/140
No.195 1 = 1/2 + 1/4 + 1/5 + 1/30 + 1/108 + 1/135
No.196 1 = 1/2 + 1/4 + 1/5 + 1/30 + 1/110 + 1/132
No.197 1 = 1/2 + 1/4 + 1/5 + 1/32 + 1/80 + 1/160
No.198 1 = 1/2 + 1/4 + 1/5 + 1/32 + 1/96 + 1/120
No.199 1 = 1/2 + 1/4 + 1/5 + 1/33 + 1/88 + 1/120
No.200 1 = 1/2 + 1/4 + 1/5 + 1/35 + 1/70 + 1/140
No.201 1 = 1/2 + 1/4 + 1/5 + 1/35 + 1/80 + 1/112
No.202 1 = 1/2 + 1/4 + 1/5 + 1/35 + 1/84 + 1/105
No.203 1 = 1/2 + 1/4 + 1/5 + 1/36 + 1/70 + 1/126
No.204 1 = 1/2 + 1/4 + 1/5 + 1/36 + 1/72 + 1/120
No.205 1 = 1/2 + 1/4 + 1/5 + 1/38 + 1/76 + 1/95
No.206 1 = 1/2 + 1/4 + 1/5 + 1/39 + 1/60 + 1/130
No.207 1 = 1/2 + 1/4 + 1/5 + 1/40 + 1/56 + 1/140
No.208 1 = 1/2 + 1/4 + 1/5 + 1/40 + 1/60 + 1/120
No.209 1 = 1/2 + 1/4 + 1/5 + 1/40 + 1/65 + 1/104
No.210 1 = 1/2 + 1/4 + 1/5 + 1/40 + 1/72 + 1/90
No.211 1 = 1/2 + 1/4 + 1/5 + 1/42 + 1/56 + 1/120
No.212 1 = 1/2 + 1/4 + 1/5 + 1/42 + 1/60 + 1/105
No.213 1 = 1/2 + 1/4 + 1/5 + 1/42 + 1/70 + 1/84
No.214 1 = 1/2 + 1/4 + 1/5 + 1/44 + 1/55 + 1/110
No.215 1 = 1/2 + 1/4 + 1/5 + 1/44 + 1/70 + 1/77
No.216 1 = 1/2 + 1/4 + 1/5 + 1/45 + 1/48 + 1/144
No.217 1 = 1/2 + 1/4 + 1/5 + 1/45 + 1/52 + 1/117
No.218 1 = 1/2 + 1/4 + 1/5 + 1/45 + 1/54 + 1/108
No.219 1 = 1/2 + 1/4 + 1/5 + 1/45 + 1/60 + 1/90
No.220 1 = 1/2 + 1/4 + 1/5 + 1/45 + 1/63 + 1/84
No.221 1 = 1/2 + 1/4 + 1/5 + 1/48 + 1/60 + 1/80
No.222 1 = 1/2 + 1/4 + 1/5 + 1/50 + 1/60 + 1/75
No.223 1 = 1/2 + 1/4 + 1/5 + 1/55 + 1/60 + 1/66
No.224 1 = 1/2 + 1/4 + 1/6 + 1/15 + 1/96 + 1/160
No.225 1 = 1/2 + 1/4 + 1/6 + 1/15 + 1/100 + 1/150
No.226 1 = 1/2 + 1/4 + 1/6 + 1/15 + 1/105 + 1/140
No.227 1 = 1/2 + 1/4 + 1/6 + 1/15 + 1/108 + 1/135
No.228 1 = 1/2 + 1/4 + 1/6 + 1/15 + 1/110 + 1/132
No.229 1 = 1/2 + 1/4 + 1/6 + 1/16 + 1/72 + 1/144
No.230 1 = 1/2 + 1/4 + 1/6 + 1/16 + 1/80 + 1/120
No.231 1 = 1/2 + 1/4 + 1/6 + 1/16 + 1/84 + 1/112
No.232 1 = 1/2 + 1/4 + 1/6 + 1/17 + 1/68 + 1/102
No.233 1 = 1/2 + 1/4 + 1/6 + 1/18 + 1/48 + 1/144
No.234 1 = 1/2 + 1/4 + 1/6 + 1/18 + 1/52 + 1/117
No.235 1 = 1/2 + 1/4 + 1/6 + 1/18 + 1/54 + 1/108
No.236 1 = 1/2 + 1/4 + 1/6 + 1/18 + 1/60 + 1/90
No.237 1 = 1/2 + 1/4 + 1/6 + 1/18 + 1/63 + 1/84
No.238 1 = 1/2 + 1/4 + 1/6 + 1/19 + 1/57 + 1/76
No.239 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/39 + 1/130
No.240 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/40 + 1/120
No.241 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/42 + 1/105
No.242 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/45 + 1/90
No.243 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/48 + 1/80
No.244 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/50 + 1/75
No.245 1 = 1/2 + 1/4 + 1/6 + 1/20 + 1/55 + 1/66
No.246 1 = 1/2 + 1/4 + 1/6 + 1/21 + 1/35 + 1/140
No.247 1 = 1/2 + 1/4 + 1/6 + 1/21 + 1/36 + 1/126
No.248 1 = 1/2 + 1/4 + 1/6 + 1/21 + 1/42 + 1/84
No.249 1 = 1/2 + 1/4 + 1/6 + 1/21 + 1/44 + 1/77
No.250 1 = 1/2 + 1/4 + 1/6 + 1/22 + 1/33 + 1/132
No.251 1 = 1/2 + 1/4 + 1/6 + 1/22 + 1/36 + 1/99
No.252 1 = 1/2 + 1/4 + 1/6 + 1/22 + 1/44 + 1/66
No.253 1 = 1/2 + 1/4 + 1/6 + 1/24 + 1/30 + 1/120
No.254 1 = 1/2 + 1/4 + 1/6 + 1/24 + 1/32 + 1/96
No.255 1 = 1/2 + 1/4 + 1/6 + 1/24 + 1/33 + 1/88
No.256 1 = 1/2 + 1/4 + 1/6 + 1/24 + 1/36 + 1/72
No.257 1 = 1/2 + 1/4 + 1/6 + 1/24 + 1/40 + 1/60
No.258 1 = 1/2 + 1/4 + 1/6 + 1/24 + 1/42 + 1/56
No.259 1 = 1/2 + 1/4 + 1/6 + 1/25 + 1/30 + 1/100
No.260 1 = 1/2 + 1/4 + 1/6 + 1/26 + 1/39 + 1/52
No.261 1 = 1/2 + 1/4 + 1/6 + 1/27 + 1/36 + 1/54
No.262 1 = 1/2 + 1/4 + 1/6 + 1/28 + 1/30 + 1/70
No.263 1 = 1/2 + 1/4 + 1/6 + 1/30 + 1/36 + 1/45
No.264 1 = 1/2 + 1/4 + 1/7 + 1/11 + 1/110 + 1/140
No.265 1 = 1/2 + 1/4 + 1/7 + 1/12 + 1/60 + 1/140
No.266 1 = 1/2 + 1/4 + 1/7 + 1/12 + 1/63 + 1/126
No.267 1 = 1/2 + 1/4 + 1/7 + 1/12 + 1/70 + 1/105
No.268 1 = 1/2 + 1/4 + 1/7 + 1/12 + 1/78 + 1/91
No.269 1 = 1/2 + 1/4 + 1/7 + 1/13 + 1/42 + 1/156
No.270 1 = 1/2 + 1/4 + 1/7 + 1/13 + 1/52 + 1/91
No.271 1 = 1/2 + 1/4 + 1/7 + 1/14 + 1/35 + 1/140
No.272 1 = 1/2 + 1/4 + 1/7 + 1/14 + 1/36 + 1/126
No.273 1 = 1/2 + 1/4 + 1/7 + 1/14 + 1/42 + 1/84
No.274 1 = 1/2 + 1/4 + 1/7 + 1/14 + 1/44 + 1/77
No.275 1 = 1/2 + 1/4 + 1/7 + 1/15 + 1/30 + 1/140
No.276 1 = 1/2 + 1/4 + 1/7 + 1/15 + 1/35 + 1/84
No.277 1 = 1/2 + 1/4 + 1/7 + 1/15 + 1/42 + 1/60
No.278 1 = 1/2 + 1/4 + 1/7 + 1/16 + 1/28 + 1/112
No.279 1 = 1/2 + 1/4 + 1/7 + 1/16 + 1/42 + 1/48
No.280 1 = 1/2 + 1/4 + 1/7 + 1/18 + 1/28 + 1/63
No.281 1 = 1/2 + 1/4 + 1/7 + 1/18 + 1/36 + 1/42
No.282 1 = 1/2 + 1/4 + 1/7 + 1/20 + 1/21 + 1/105
No.283 1 = 1/2 + 1/4 + 1/7 + 1/20 + 1/30 + 1/42
No.284 1 = 1/2 + 1/4 + 1/7 + 1/21 + 1/24 + 1/56
No.285 1 = 1/2 + 1/4 + 1/7 + 1/21 + 1/28 + 1/42
No.286 1 = 1/2 + 1/4 + 1/8 + 1/9 + 1/136 + 1/153
No.287 1 = 1/2 + 1/4 + 1/8 + 1/10 + 1/56 + 1/140
No.288 1 = 1/2 + 1/4 + 1/8 + 1/10 + 1/60 + 1/120
No.289 1 = 1/2 + 1/4 + 1/8 + 1/10 + 1/65 + 1/104
No.290 1 = 1/2 + 1/4 + 1/8 + 1/10 + 1/72 + 1/90
No.291 1 = 1/2 + 1/4 + 1/8 + 1/11 + 1/40 + 1/110
No.292 1 = 1/2 + 1/4 + 1/8 + 1/11 + 1/44 + 1/88
No.293 1 = 1/2 + 1/4 + 1/8 + 1/12 + 1/30 + 1/120
No.294 1 = 1/2 + 1/4 + 1/8 + 1/12 + 1/32 + 1/96
No.295 1 = 1/2 + 1/4 + 1/8 + 1/12 + 1/33 + 1/88
No.296 1 = 1/2 + 1/4 + 1/8 + 1/12 + 1/36 + 1/72
No.297 1 = 1/2 + 1/4 + 1/8 + 1/12 + 1/40 + 1/60
No.298 1 = 1/2 + 1/4 + 1/8 + 1/12 + 1/42 + 1/56
No.299 1 = 1/2 + 1/4 + 1/8 + 1/13 + 1/24 + 1/156
No.300 1 = 1/2 + 1/4 + 1/8 + 1/13 + 1/26 + 1/104
No.301 1 = 1/2 + 1/4 + 1/8 + 1/14 + 1/24 + 1/84
No.302 1 = 1/2 + 1/4 + 1/8 + 1/14 + 1/28 + 1/56
No.303 1 = 1/2 + 1/4 + 1/8 + 1/14 + 1/35 + 1/40
No.304 1 = 1/2 + 1/4 + 1/8 + 1/15 + 1/20 + 1/120
No.305 1 = 1/2 + 1/4 + 1/8 + 1/15 + 1/24 + 1/60
No.306 1 = 1/2 + 1/4 + 1/8 + 1/15 + 1/30 + 1/40
No.307 1 = 1/2 + 1/4 + 1/8 + 1/16 + 1/18 + 1/144
No.308 1 = 1/2 + 1/4 + 1/8 + 1/16 + 1/20 + 1/80
No.309 1 = 1/2 + 1/4 + 1/8 + 1/16 + 1/24 + 1/48
No.310 1 = 1/2 + 1/4 + 1/8 + 1/18 + 1/24 + 1/36
No.311 1 = 1/2 + 1/4 + 1/8 + 1/20 + 1/24 + 1/30
No.312 1 = 1/2 + 1/4 + 1/8 + 1/21 + 1/24 + 1/28
No.313 1 = 1/2 + 1/4 + 1/9 + 1/10 + 1/36 + 1/90
No.314 1 = 1/2 + 1/4 + 1/9 + 1/10 + 1/40 + 1/72
No.315 1 = 1/2 + 1/4 + 1/9 + 1/10 + 1/45 + 1/60
No.316 1 = 1/2 + 1/4 + 1/9 + 1/12 + 1/21 + 1/126
No.317 1 = 1/2 + 1/4 + 1/9 + 1/12 + 1/22 + 1/99
No.318 1 = 1/2 + 1/4 + 1/9 + 1/12 + 1/24 + 1/72
No.319 1 = 1/2 + 1/4 + 1/9 + 1/12 + 1/27 + 1/54
No.320 1 = 1/2 + 1/4 + 1/9 + 1/12 + 1/30 + 1/45
No.321 1 = 1/2 + 1/4 + 1/9 + 1/13 + 1/18 + 1/156
No.322 1 = 1/2 + 1/4 + 1/9 + 1/14 + 1/18 + 1/84
No.323 1 = 1/2 + 1/4 + 1/9 + 1/15 + 1/18 + 1/60
No.324 1 = 1/2 + 1/4 + 1/9 + 1/15 + 1/20 + 1/45
No.325 1 = 1/2 + 1/4 + 1/9 + 1/16 + 1/18 + 1/48
No.326 1 = 1/2 + 1/4 + 1/9 + 1/18 + 1/20 + 1/30
No.327 1 = 1/2 + 1/4 + 1/9 + 1/18 + 1/21 + 1/28
No.328 1 = 1/2 + 1/4 + 1/10 + 1/11 + 1/20 + 1/110
No.329 1 = 1/2 + 1/4 + 1/10 + 1/12 + 1/18 + 1/90
No.330 1 = 1/2 + 1/4 + 1/10 + 1/12 + 1/20 + 1/60
No.331 1 = 1/2 + 1/4 + 1/10 + 1/12 + 1/24 + 1/40
No.332 1 = 1/2 + 1/4 + 1/10 + 1/13 + 1/15 + 1/156
No.333 1 = 1/2 + 1/4 + 1/10 + 1/14 + 1/15 + 1/84
No.334 1 = 1/2 + 1/4 + 1/10 + 1/14 + 1/20 + 1/35
No.335 1 = 1/2 + 1/4 + 1/10 + 1/15 + 1/16 + 1/48
No.336 1 = 1/2 + 1/4 + 1/10 + 1/15 + 1/18 + 1/36
No.337 1 = 1/2 + 1/4 + 1/10 + 1/15 + 1/20 + 1/30
No.338 1 = 1/2 + 1/4 + 1/10 + 1/15 + 1/21 + 1/28
No.339 1 = 1/2 + 1/4 + 1/11 + 1/12 + 1/15 + 1/110
No.340 1 = 1/2 + 1/4 + 1/11 + 1/12 + 1/22 + 1/33
No.341 1 = 1/2 + 1/4 + 1/12 + 1/14 + 1/15 + 1/35
No.342 1 = 1/2 + 1/5 + 1/6 + 1/9 + 1/70 + 1/126
No.343 1 = 1/2 + 1/5 + 1/6 + 1/9 + 1/72 + 1/120
No.344 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/39 + 1/130
No.345 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/40 + 1/120
No.346 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/42 + 1/105
No.347 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/45 + 1/90
No.348 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/48 + 1/80
No.349 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/50 + 1/75
No.350 1 = 1/2 + 1/5 + 1/6 + 1/10 + 1/55 + 1/66
No.351 1 = 1/2 + 1/5 + 1/6 + 1/11 + 1/30 + 1/110
No.352 1 = 1/2 + 1/5 + 1/6 + 1/12 + 1/24 + 1/120
No.353 1 = 1/2 + 1/5 + 1/6 + 1/12 + 1/25 + 1/100
No.354 1 = 1/2 + 1/5 + 1/6 + 1/12 + 1/28 + 1/70
No.355 1 = 1/2 + 1/5 + 1/6 + 1/12 + 1/30 + 1/60
No.356 1 = 1/2 + 1/5 + 1/6 + 1/12 + 1/36 + 1/45
No.357 1 = 1/2 + 1/5 + 1/6 + 1/13 + 1/20 + 1/156
No.358 1 = 1/2 + 1/5 + 1/6 + 1/14 + 1/20 + 1/84
No.359 1 = 1/2 + 1/5 + 1/6 + 1/14 + 1/21 + 1/70
No.360 1 = 1/2 + 1/5 + 1/6 + 1/14 + 1/30 + 1/35
No.361 1 = 1/2 + 1/5 + 1/6 + 1/15 + 1/18 + 1/90
No.362 1 = 1/2 + 1/5 + 1/6 + 1/15 + 1/20 + 1/60
No.363 1 = 1/2 + 1/5 + 1/6 + 1/15 + 1/24 + 1/40
No.364 1 = 1/2 + 1/5 + 1/6 + 1/16 + 1/20 + 1/48
No.365 1 = 1/2 + 1/5 + 1/6 + 1/18 + 1/20 + 1/36
No.366 1 = 1/2 + 1/5 + 1/6 + 1/20 + 1/21 + 1/28
No.367 1 = 1/2 + 1/5 + 1/7 + 1/8 + 1/40 + 1/140
No.368 1 = 1/2 + 1/5 + 1/7 + 1/8 + 1/42 + 1/120
No.369 1 = 1/2 + 1/5 + 1/7 + 1/8 + 1/56 + 1/70
No.370 1 = 1/2 + 1/5 + 1/7 + 1/9 + 1/42 + 1/45
No.371 1 = 1/2 + 1/5 + 1/7 + 1/10 + 1/20 + 1/140
No.372 1 = 1/2 + 1/5 + 1/7 + 1/10 + 1/21 + 1/105
No.373 1 = 1/2 + 1/5 + 1/7 + 1/10 + 1/30 + 1/42
No.374 1 = 1/2 + 1/5 + 1/7 + 1/12 + 1/15 + 1/140
No.375 1 = 1/2 + 1/5 + 1/7 + 1/12 + 1/20 + 1/42
No.376 1 = 1/2 + 1/5 + 1/7 + 1/14 + 1/20 + 1/28
No.377 1 = 1/2 + 1/5 + 1/8 + 1/9 + 1/18 + 1/120
No.378 1 = 1/2 + 1/5 + 1/8 + 1/9 + 1/20 + 1/72
No.379 1 = 1/2 + 1/5 + 1/8 + 1/9 + 1/24 + 1/45
No.380 1 = 1/2 + 1/5 + 1/8 + 1/10 + 1/15 + 1/120
No.381 1 = 1/2 + 1/5 + 1/8 + 1/10 + 1/16 + 1/80
No.382 1 = 1/2 + 1/5 + 1/8 + 1/10 + 1/20 + 1/40
No.383 1 = 1/2 + 1/5 + 1/8 + 1/10 + 1/24 + 1/30
No.384 1 = 1/2 + 1/5 + 1/8 + 1/12 + 1/15 + 1/40
No.385 1 = 1/2 + 1/5 + 1/8 + 1/12 + 1/20 + 1/24
No.386 1 = 1/2 + 1/5 + 1/9 + 1/10 + 1/15 + 1/45
No.387 1 = 1/2 + 1/5 + 1/9 + 1/10 + 1/18 + 1/30
No.388 1 = 1/2 + 1/5 + 1/9 + 1/12 + 1/18 + 1/20
No.389 1 = 1/2 + 1/5 + 1/10 + 1/12 + 1/15 + 1/20
No.390 1 = 1/2 + 1/6 + 1/7 + 1/8 + 1/21 + 1/56
No.391 1 = 1/2 + 1/6 + 1/7 + 1/8 + 1/24 + 1/42
No.392 1 = 1/2 + 1/6 + 1/7 + 1/9 + 1/14 + 1/126
No.393 1 = 1/2 + 1/6 + 1/7 + 1/9 + 1/18 + 1/42
No.394 1 = 1/2 + 1/6 + 1/7 + 1/10 + 1/12 + 1/140
No.395 1 = 1/2 + 1/6 + 1/7 + 1/10 + 1/15 + 1/42
No.396 1 = 1/2 + 1/6 + 1/7 + 1/12 + 1/14 + 1/28
No.397 1 = 1/2 + 1/6 + 1/8 + 1/9 + 1/12 + 1/72
No.398 1 = 1/2 + 1/6 + 1/8 + 1/9 + 1/18 + 1/24
No.399 1 = 1/2 + 1/6 + 1/8 + 1/10 + 1/12 + 1/40
No.400 1 = 1/2 + 1/6 + 1/8 + 1/10 + 1/15 + 1/24
No.401 1 = 1/2 + 1/6 + 1/9 + 1/10 + 1/15 + 1/18
No.402 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/24 + 1/120
No.403 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/25 + 1/100
No.404 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/28 + 1/70
No.405 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/30 + 1/60
No.406 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/36 + 1/45
No.407 1 = 1/3 + 1/4 + 1/5 + 1/7 + 1/15 + 1/140
No.408 1 = 1/3 + 1/4 + 1/5 + 1/7 + 1/20 + 1/42
No.409 1 = 1/3 + 1/4 + 1/5 + 1/8 + 1/12 + 1/120
No.410 1 = 1/3 + 1/4 + 1/5 + 1/8 + 1/15 + 1/40
No.411 1 = 1/3 + 1/4 + 1/5 + 1/8 + 1/20 + 1/24
No.412 1 = 1/3 + 1/4 + 1/5 + 1/9 + 1/12 + 1/45
No.413 1 = 1/3 + 1/4 + 1/5 + 1/9 + 1/18 + 1/20
No.414 1 = 1/3 + 1/4 + 1/5 + 1/10 + 1/12 + 1/30
No.415 1 = 1/3 + 1/4 + 1/5 + 1/10 + 1/15 + 1/20
No.416 1 = 1/3 + 1/4 + 1/6 + 1/7 + 1/10 + 1/140
No.417 1 = 1/3 + 1/4 + 1/6 + 1/7 + 1/12 + 1/42
No.418 1 = 1/3 + 1/4 + 1/6 + 1/7 + 1/14 + 1/28
No.419 1 = 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/72
No.420 1 = 1/3 + 1/4 + 1/6 + 1/8 + 1/10 + 1/40
No.421 1 = 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
No.422 1 = 1/3 + 1/4 + 1/6 + 1/9 + 1/12 + 1/18
No.423 1 = 1/3 + 1/4 + 1/6 + 1/10 + 1/12 + 1/15这是按字典排序输出的结果。 数字最大（或字典序最小）的解：
$1/2+1/3+1/7+1/43+1/1807+1/3263442=1$
不知道数字最小的解是多少。
KeyTo9_Fans 发表于 2011-9-11 19:28 http://bbs.emath.ac.cn/images/common/back.gif
运行我的程序，结果确实如此。 1分钟之内可以迅速找到一组解：
由于有 1=1/2+1/3+1/6 ------------------------------------(1)
的特性，又由于：
1=1/2+1/4+1/8+1/8 --------------------------------------(2)
将(1)两端乘以1/8,代入(2)式，就有：
1=1/2+1/4+1/8+1/16+1/24+1/48 http://mathworld.wolfram.com/ZnamsProblem.html
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