A Mathematical Curiosity
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 8614 Accepted Submission(s): 2592
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
Sample Output
Case 1: 2
Case 2: 4
Case 3: 5
題目分析 :
沒(méi)事水一水, 嘿嘿....... 新手只需要 注意下輸出就可以了 . 暴力過(guò), 沒(méi)什么技巧
代碼如下 :
/*
MiYu原創(chuàng), 轉(zhuǎn)帖請(qǐng)注明 : 轉(zhuǎn)載自 ______________白白の屋
http://www.cnblog.com/MiYu
Author By : MiYu
Test : 1
Program : 1017
*/
#include <iostream>
#include <algorithm>
using namespace std;
int main ()
{
int T; cin >> T;
for ( int k = 1; k <= T; ++ k ){
int N, M, ca = 1, cnt = 0;
if ( k != 1 ) putchar ( 10 );
while ( cin >> N >> M, N || M ){ cnt = 0;
for ( int i = 1; i < N; ++ i ){
for ( int j = i + 1; j < N; ++ j ){
if ( ( i * i + j * j + M ) % ( i * j ) == 0 )
cnt ++;
}
}
printf ( "Case %d: %d\n",ca++, cnt );
}
}
return 0;
}