HPU 1002 A + B Problem II【大数】

A + B Problem II

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 261413    Accepted Submission(s): 50581

Problem Description

I have a very simple problem for you. Given two integers A and B, your job is to calculate the Sum of A + B.

 

Input

The first line of the input contains an integer T(1<=T<=20) which means the number of test cases. Then T lines follow, each line consists of two positive integers, A and B. Notice that the integers are very large, that means you should not process them by using 32-bit integer. You may assume the length of each integer will not exceed 1000.

 

Output

For each test case, you should output two lines. The first line is "Case #:", # means the number of the test case. The second line is the an equation "A + B = Sum", Sum means the result of A + B. Note there are some spaces int the equation. Output a blank line between two test cases.

 

Sample Input

2
1 2
112233445566778899 998877665544332211

 

Sample Output

Case 1:
1 + 2 = 3

Case 2:
112233445566778899 + 998877665544332211 = 1111111111111111110

 

Author

Ignatius.L

 

思路：

       将数字以字符的形式存储到字符数组中，由于在存储的时候是高位在以0为下标的下标变量中存储的。所以要将其进行翻转，存储到整形数组中（也就是高位存储到大下标变量中。由于在进位的时候能在原来的基础上进行i++。来存储最高位的数据）。然后将两个大数按位相加。假设比十大，进行进位操作！

 

代码：

#include <stdio.h>
#include <string.h>
#define N 10005
char a[N],b[N];
int c[N],d[N];
int main()
{
	int n,i,j,k,len1,len2;
	scanf("%d",&n);
	k=n;
	while(n--)
	{
		memset(c,0,sizeof(c));//每次都得清零，所以得放到while循环里面。 
	    memset(d,0,sizeof(d));
		getchar();
		scanf("%s%s",a,b);//空格也是scanf的切割符！ 
		len1=strlen(a);
		len2=strlen(b);
		for(i=len1-1,j=0;i>=0;i--)//由于须要逆序保存，所以应该设变量j从0開始！
 
		  c[j++]=a[i]-'0';
		for(i=len2-1,j=0;i>=0;i--)
		  d[j++]=b[i]-'0';
		for(i=0;i<1001;i++)
		  {
		  c[i]+=d[i];
		   if(c[i]>=10)
		   {
		   	c[i]-=10;
		   	c[i+1]++;
		   }
	      }
	    printf("Case %d:\n%s + %s = ",k-n,a,b);
	    for(i=1000;i>=0&&c[i]==0;i--);
	    if(i>=0)
	      for(;i>=0;i--)
	      {
	      	printf("%d",c[i]);
	      }
	    else
	      printf("0");
	    printf("\n");
	    if(n!=0)
	      printf("\n");
	}
	return 0;
}