HDU 1017 A Mathematical Curiosity (数学)

Posted 2020-09-12 mthoutai

A Mathematical Curiosity

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 25871    Accepted Submission(s): 8174

Problem Description

Given two integers n and m, count the number of pairs of integers (a,b) such that 0 < a < b < n and (a^2+b^2 +m)/(ab) is an integer.

This problem contains multiple test cases!

The first line of a multiple input is an integer N, then a blank line followed by N input blocks. Each input block is in the format indicated in the problem description. There is a blank line between input blocks.

The output format consists of N output blocks. There is a blank line between output blocks.

 

Input

You will be given a number of cases in the input. Each case is specified by a line containing the integers n and m. The end of input is indicated by a case in which n = m = 0. You may assume that 0 < n <= 100.

 

Output

For each case, print the case number as well as the number of pairs (a,b) satisfying the given property. Print the output for each case on one line in the format as shown below.

 

Sample Input

1

10 1
20 3
30 4
0 0

 

Sample Output

Case 1: 2
Case 2: 4
Case 3: 5

 

Source

East Central North America 1999, Practice

 

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对这道题不解释。题目的例子错了，那个1后面根本不要空行，还是看讨论区才知道。
代码：78MS

 #include<iostream>  
    using namespace std;  
    int main(){  
        int n,m,cont=0,num=0;  
        int T;  
        cin>>T;  
        while(T--)  
        {  
        while(cin>>n>>m&&n!=0)  
        {         
            int a,b;  
            for(a=1;a<=n;++a){  
            for(b=a+1;b<n;++b){  
                if((a*a+b*b+m)%(a*b)==0)  
                cont++;  
            }  
        }  
        cout<<"Case "<<++num<<": "<<cont<<endl;  //没打空格的同学伤不起啊。
。
。
        cont=0;  
        }  
        num=0;  
        if(T)  
        cout<<endl;  
        }  
    }