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题目连接:http://acm.hdu.edu.cn/showproblem.php?pid=5924
Mr. Frog’s Problem
Problem Description
One day, you, a clever boy, feel bored in your math class, and then fall asleep without your control. In your dream, you meet Mr. Frog, an elder man. He has a problem for you.
He gives you two positive integers A and B, and your task is to find all pairs of integers (C, D), such that A≤C≤B,A≤D≤B and A/B+B/A≤C/D+D/C
Input
first line contains only one integer T (T≤125), which indicates the number of test cases. Each test case contains two integers A and B (1≤A≤B≤1018).
Output
For each test case, first output one line “Case #x:”, where x is the case number (starting from 1).
Then in a new line, print an integer s indicating the number of pairs you find.
In each of the following s lines, print a pair of integers C and D. pairs should be sorted by C, and then by D in ascending order.
Sample Input
2
10 10
9 27
Sample Output
Case #1:
1
10 10
Case #2:
2
9 27
27 9
Source
2016CCPC东北地区大学生程序设计竞赛 - 重现赛
分析:
水题。由于A,B是区间的两个端点,所以A/B + B/A 已经就是最大值了。所以当A==B 时答案就是A,B;当不相等时,答案为A,B和B,A
AC代码:
#include <iostream>
#include <cstdio>
#include <cstring>
#include <string>
#include <algorithm>
using namespace std;int main()
{int t,kase=1;char a[30],b[30];scanf("%d",&t);while(t--){cin>>a>>b;if(strcmp(a,b)==0){printf("Case #%d:\n1\n",kase++);cout<<a<<" "<<b<<endl;}else{printf("Case #%d:\n2\n",kase++);cout<<a<<" "<<b<<endl;cout<<b<<" "<<a<<endl;}}return 0;
}
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