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为什么我这样分析不正确？

Posted by Bzin at 2009-03-21 13:37:44 on Problem 2917 and last updated at 2009-03-21 13:39:01 
1/n = m/nm = 1/nm+(m-1)/nm （m>=2)
1/nm <= (m-1)/nm，所以答案和合适的 m 一一对应，也就是说只要(m-1)/nm能化简就行，显然m-1和m互质，所以m-1只能是n的约数，所以m的取值个数即为n的约数的个数。

为什么我这样分析不正确？
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