[leetcode] Multiply Strings

最新推荐文章于 2025-08-22 01:16:35 发布

转载最新推荐文章于 2025-08-22 01:16:35 发布 · 71 阅读

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原文链接：https://my.oschina.net/jdflyfly/blog/284255

文章标签：

#数据结构与算法 #python #java

本文提供了一种解决大数乘法问题的方法，通过字符串表示的大数进行乘法运算，并详细展示了实现的Java代码。该算法模拟了手算乘法的过程，适用于任意大的非负整数。

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2019独角兽企业重金招聘Python工程师标准>>>

Given two numbers represented as strings, return multiplication of the numbers as a string.

Note: The numbers can be arbitrarily large and are non-negative.

https://oj.leetcode.com/problems/multiply-strings/

思路：大数乘法，模拟笔算过程即可。

注意的细节：

前导0去掉；
结果为0；

代码：

import java.util.Arrays;

public class Solution {
	public String multiply(String num1, String num2) {
		if (num1 == null || num2 == null || num1.length() == 0
				|| num2.length() == 0)
			return null;
		int n1 = num1.length();
		int n2 = num2.length();

		char[] str1 = num1.toCharArray();
		char[] str2 = num2.toCharArray();
		char[] prod = new char[n1 + n2];

		Arrays.fill(prod, '0');

		int i, j;
		for (i = 0; i < n1; i++)
			for (j = 0; j < n2; j++) {
				prod[i + j] = (char) ((prod[i + j] - '0')
						+ (str1[n1 - 1 - i] - '0') * (str2[n2 - 1 - j] - '0') + '0');
			}


		int c = 0;
		for (i = 0; i < n1 + n2; i++) {
			prod[i] = (char) ((prod[i] - '0') + c + '0');
			if (prod[i] - '0' + c > 9) {
				c = (prod[i] - '0') / 10;
				prod[i] = (char) ((prod[i] - '0') % 10 + '0');
			} else
				c = 0;
		}


		StringBuilder sb = new StringBuilder();

		i = n1 + n2 - 1;
		while (i >= 0 && prod[i] == '0')
			i--;
		if (i == -1) {
			sb.append("0");
			return sb.toString();
		}

		for (; i >= 0; i--) {
			sb.append(prod[i]);
		}

		return sb.toString();
	}

	public static void main(String[] args) {
		System.out.println(new Solution().multiply("123", "12345"));
		System.out.println(new Solution().multiply("0", "123"));
		
	}
}

参考：

http://www.cnblogs.com/TenosDoIt/p/3735309.html

http://leetcodenotes.wordpress.com/2013/10/20/leetcode-multiply-strings-%E5%A4%A7%E6%95%B4%E6%95%B0%E7%9A%84%E5%AD%97%E7%AC%A6%E4%B8%B2%E4%B9%98%E6%B3%95/comment-page-1/#comment-122

转载于:https://my.oschina.net/jdflyfly/blog/284255