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layout: post title: "Python编程3——Python计算是否是perfect number" date: 2013-01-13 10:32 comments: true

categories: Python

前言

这里是实现0～100之内数字输出全部的完美数，所谓完美数也就是这个数的所有因子的和等于这个数。

比如：

6=1+2+3

28=1+2+4+7+14

程序

#the programe is judging whether the number is perfect
#the perfect number is number that the sum of its factor equals itself
#like 6=1+2+3,28=1+2+4+7=14

topNum=raw_input("Please enter the upper number of the range: \n")
topNum=int(topNum)
theNum=2


while theNum<=topNum:
    #sum up all the factor
    divisor=1
    sumofDivisors=0
    #judge whether it is the factors of theNum
    while divisor<theNum:
        if theNum%divisor==0:
            sumofDivisors=sumofDivisors+divisor
        divisor=divisor+1
    if theNum==sumofDivisors:
        print theNum,"is perfect"
    theNum+=1

当然可以看出来100以内也就只有6和28两个数字。