HDU1002 A + B Problem II【大数】

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原文链接：http://www.cnblogs.com/tigerisland/p/7563540.html

文章标签：

#java #c/c++

本文介绍了一个关于大数加法的问题，通过分析HDU1002 A+B Problem II题目，给出了详细的解决思路和C++实现代码。该问题要求处理长度不超过1000的大整数，并正确计算其和。

A + B Problem II

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 371486 Accepted Submission(s): 72398

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
  

问题链接：HDU1002 A + B Problem II

问题简述：参见上文。

问题分析：这个问题是要计算两个数相加的结果，问题是每个数的长度不超过1000，也就是数可能非常大，所有需要用大数加法来做。

程序说明：程序中处处都是基本的套路，需要熟练掌握。

题记：程序需要写得简洁易懂。

参考链接：（略）

AC的C++语言程序如下：

/* HDU1002 A + B Problem II */

#include <iostream>
#include <stdio.h>
#include <string.h>

using namespace std;

const int BASE = 10;
const int N = 1000;
char sa[N+1], sb[N+1];
int a[N+1], b[N+1];

int main()
{
    int t;

    scanf("%d", &t);

    for(int k=1; k<=t; k++) {
        scanf("%s%s", sa, sb);

        // 字符串转数值数组
        memset(a, 0, sizeof(a));
        memset(b, 0, sizeof(b));
        int alen = strlen(sa);
        for(int i=alen-1,j=0; i>=0; i--,j++)
            a[j] = sa[i] - '0';
        int blen = strlen(sb);
        for(int i=blen-1,j=0; i>=0; i--,j++)
            b[j] = sb[i] - '0';

        // 相加（需要考虑进位问题）
        int len = max(alen, blen);
        int carry = 0;
        for(int i=0; i<len; i++) {
            a[i] += b[i] + carry;
            carry = a[i] / BASE;
            a[i] %= BASE;
        }
        if(carry > 0)
            a[len++] = carry;

        // 输出结果（需要注意输出格式：隔行输出）
        if(k != 1)
            printf("\n");
        printf("Case %d:\n", k);
        printf ("%s + %s = ", sa, sb);
        for(int i=len-1; i>=0; i--)
            printf("%d", a[i]);
        printf("\n");
    }

    return 0;
}

转载于:https://www.cnblogs.com/tigerisland/p/7563540.html