2014 ACM/ICPC Asia Regional Shanghai Online 1009
Divided Land
Time Limit: 8000/4000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 0 Accepted Submission(s): 0
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
Time Limit: 8000/4000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 0 Accepted Submission(s): 0
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
<span style="color:#000099;">import java.math.BigInteger;
import java.util.Scanner;
public class Main {
public static void main(String[] args)
{
int t;
Scanner s = new Scanner(System.in);
t=s.nextInt();
for(int j=1;j<=t;j++){
String s1 = null,s2=null;
s1= s.next();s2=s.next();
BigInteger num1 =new BigInteger("0");
BigInteger num2= new BigInteger("0");
BigInteger sum =new BigInteger("1");
BigInteger flag =new BigInteger("2");
for(int i=s1.length()-1; i>=0; i--)
{
if(s1.charAt(i)=='1'){ num1=num1.add(sum);}
sum=sum.multiply(flag);
}
BigInteger sum1 =new BigInteger("1");
for(int i=s2.length()-1; i>=0; i--)
{
if(s2.charAt(i)=='1'){ num2=num2.add(sum1);}
sum1=sum1.multiply(flag);
}
BigInteger ans = num1.gcd(num2);
String res1="";
res1=ans.toString(2);
System.out.println("Case #"+j+": "+res1);}
}
}</span>