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  • HDU 1492 The number of divisors(约数) about Humble Numbers(数论,简单约数)

    The number of divisors(约数) about Humble Numbers

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
    Total Submission(s): 1623    Accepted Submission(s): 789


    Problem Description
    A number whose only prime factors are 2,3,5 or 7 is called a humble number. The sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, ... shows the first 20 humble numbers.

    Now given a humble number, please write a program to calculate the number of divisors about this humble number.For examle, 4 is a humble,and it have 3 divisors(1,2,4);12 have 6 divisors.

     
    Input
    The input consists of multiple test cases. Each test case consists of one humble number n,and n is in the range of 64-bits signed integer. Input is terminated by a value of zero for n.
     
    Output
    For each test case, output its divisor number, one line per case.
     
    Sample Input
    4 12 0
     
    Sample Output
    3 6
     
    Author
    lcy
     
    Source
     
    Recommend
    LL
     
     
     
    很简单的题目。。
    只要求得有多少个2,3,5,7
    然后结果就是  (p2-1)*(p3-1)*(p5-1)*(p7-1)
     
    #include<stdio.h>
    int main()
    {
        long long n;
        int p2,p3,p5,p7;
        while(scanf("%I64d",&n),n)
        {
            p2=p3=p5=p7=0;
            while(n%2==0)
            {
                n/=2;
                p2++;
            }    
            while(n%3==0)
            {
                n/=3;
                p3++;
            }    
            while(n%5==0)
            {
                n/=5;
                p5++;
            }    
            while(n%7==0)
            {
                n/=7;
                p7++;
            }    
            printf("%d\n",(p2+1)*(p3+1)*(p5+1)*(p7+1));
        }    
        return 0;
    }    
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  • 原文地址:https://www.cnblogs.com/kuangbin/p/2622945.html
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