POJ 2389 Bull Math

最新推荐文章于 2021-02-17 20:36:11 发布

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最新推荐文章于 2021-02-17 20:36:11 发布

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原文链接：http://www.cnblogs.com/ALXPCUN/p/4535417.html

本文详细介绍了如何使用C++实现高精度整数乘法，包括读取输入、转换为整型数组、进行乘法运算并输出结果的过程。

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Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 13500		Accepted: 6968

Description

Bulls are so much better at math than the cows. They can multiply huge integers together and get perfectly precise answers ... or so they say. Farmer John wonders if their answers are correct. Help him check the bulls' answers. Read in two positive integers (no more than 40 digits each) and compute their product. Output it as a normal number (with no extra leading zeros).

FJ asks that you do this yourself; don't use a special library function for the multiplication.

Input

* Lines 1..2: Each line contains a single decimal number.

Output

* Line 1: The exact product of the two input lines

Sample Input

11111111111111
1111111111

Sample Output

12345679011110987654321

高精度乘法。。
CODE:

#include <iostream>
#include <cstdio>
#include <cstring>
#define REP(i, s, n) for(int i = s; i <= n; i ++)
#define REP_(i, s, n) for(int i = n; i >= s; i --)
#define MAX_N 2000

using namespace std;

char a[MAX_N], b[MAX_N];
int la, lb, lc;
int int_a[MAX_N], int_b[MAX_N], int_c[MAX_N];

int main(){
    scanf("%s%s", a + 1, b + 1);
    la = strlen(a + 1); lb = strlen(b + 1);
    memset(int_a, 0, sizeof(int_a)); memset(int_b, 0, sizeof(int_b));
    memset(int_c, 0, sizeof(int_c));
    REP(i, 1, la) int_a[la - i + 1] = a[i] - '0';
    REP(i, 1, lb) int_b[lb - i + 1] = b[i] - '0';
    REP(i, 1, la){
        int x = 0;
        REP(j, 1, lb){
            int_c[i + j - 1] = int_a[i] * int_b[j] + x + int_c[i + j - 1];
            x = int_c[i + j - 1] / 10; int_c[i + j - 1] %= 10;
        }
        int_c[i + lb] = x;
    }
    lc = la + lb;
    while(int_c[lc] == 0 && lc > 1) lc--;
    REP_(i, 1, lc) printf("%d", int_c[i]);
    return 0;
}