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wangdaqiao
algorithm
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perfect_number.py
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perfect_number.py
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#!/usr/bin/env python
#coding:utf-8
"""
找出完全数
"""
#找出一个数的因数
def factors(n):
#return [i for i in range(1,n/2+1) if n%i == 0]
#如果仅仅是为了得到因数,可以用上面的
#如果是配合下面完全数,最好使用下面的。因为在下面少循环一次,1肯定是任何整数的因数
return [i for i in range(2,n/2+1) if n%i == 0]
#找出某个数n以内的所有完全数,即在[1,n]内(含n)
def perfect(n):
#从上面的factors中得到的因数列表中,少1,因此在求因数和的时候,要把1加上。
return [i for i in range(2,n+1) if (sum(factors(i))+1)==i]
if __name__=="__main__":
print perfect(30)
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