hdu 5050 Divided Land---2014acm上海赛区网络赛

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=5050

Divided Land

Time Limit: 8000/4000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)

Total Submission(s): 115 Accepted Submission(s): 57



Problem Description

It’s time to fight the local despots and redistribute the land. There is a rectangular piece of land granted from the government, whose length and width are both in binary form. As the mayor, you must segment the land into multiple squares of equal size for
the villagers. What are required is there must be no any waste and each single segmented square land has as large area as possible. The width of the segmented square land is also binary.

Input

The first line of the input is T (1 ≤ T ≤ 100), which stands for the number of test cases you need to solve.

Each case contains two binary number represents the length L and the width W of given land. (0 < L, W ≤ 21000)

Output

For each test case, print a line “Case #t: ”(without quotes, t means the index of the test case) at the beginning. Then one number means the largest width of land that can be divided from input data. And it will be show in binary. Do not have any useless number
or space.

Sample Input

3
10 100
100 110
10010 1100

Sample Output

Case #1: 10
Case #2: 10
Case #3: 110

Source

2014 ACM/ICPC Asia Regional Shanghai Online

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用java大数类取个gcd就完了。。。一开始手写了下gcd居然还共享了一次wa.......ORZ

import java.util.*;
import  java.math.*;

public class Main {
public static void main(String [] args)throws Exception{
Scanner cin=new Scanner(System.in);
BigInteger one=new BigInteger("1");
BigInteger zero=new BigInteger("0");
BigInteger two= new BigInteger("2");
BigInteger four= new BigInteger("4");
BigInteger six = new BigInteger("6");
BigInteger A;
BigInteger B;
int T;
T=cin.nextInt();
for(int tt=1;tt<=T;tt++){
String a,b;
a=cin.next();b=cin.next();
A=new BigInteger(a,2);
B=new BigInteger(b,2);
BigInteger ans=A.gcd(B);
System.out.print("Case #"+tt+": ");
System.out.println(ans.toString(2));
}
}
}