43.Multiply Strings

本文介绍了一种解决LeetCode第43题的方法,即如何通过字符串表示的大数进行乘法运算。通过逐位相乘并累加的方式,实现了两个非负整数字符串的乘法。文章提供了一个详细的Java代码示例。

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43.Multiply Strings

  • 题目描述:Given two non-negative integers num1 and num2 represented as strings, return the product of num1 and num2.

  • 题目大意:给定两个非负整数num1与num2,返回num1与num相乘后的结果

  • 思路:从右到左,对每一对数字进行乘法运算,并将它们加在一起。

    这里写图片描述

  • 代码

    package String;
    
    /**
    * @Author OovEver
    * @Date 2017/12/9 14:59
    */
    public class LeetCode43 {
      public static String multiply(String num1, String num2) {
          int m = num1.length();
          int n = num2.length();
          int[] pos = new int[m + n];
          for(int i=m-1;i>=0;i--) {
              for(int j=n-1;j>=0;j--) {
                  int mul = (num1.charAt(i) - '0') * (num2.charAt(j) - '0');
                  int p1 = i + j;
                  int p2 = i + j + 1;
                  int sum = mul + pos[p2];
                  pos[p1] += sum / 10;
                  pos[p2] = sum % 10;
              }
          }
          StringBuilder stringBuilder = new StringBuilder();
          for (int p : pos) {
              if (!(p == 0 && stringBuilder.length() == 0)) {
                  stringBuilder.append(p);
              }
          }
          return stringBuilder.length() == 0 ? "0" : stringBuilder.toString();
      }
    
    
    }
    
### Math.js Library Usage and Documentation The **Math.js** library is an extensive mathematics library for JavaScript and Node.js designed to handle complex mathematical operations efficiently. Although not directly referenced in the provided citations, it can be compared with other libraries such as `fx.js`[^3], which also provides advanced functionalities. #### Installation To use the Math.js library, installation via npm (Node Package Manager) is recommended: ```bash npm install mathjs ``` Alternatively, you may include it directly within a browser environment by downloading the script file from its official repository or using CDN links. #### Basic Example Below is a basic example demonstrating how to perform calculations using Math.js: ```javascript const math = require('mathjs'); // Perform addition let result = math.add(2, 3); // returns 5 console.log(result); ``` For more detailed examples, refer to similar demonstrations found in other libraries' documentations like those mentioned earlier [^4]. #### Key Features Supported by Math.js 1. **Numerical Computations**: Supports both standard arithmetic functions and specialized numerical methods. 2. **Expression Parsing**: Capable of parsing strings into executable expressions dynamically. ```javascript const expressionResult = math.evaluate('sqrt(16)'); // returns 4 console.log(expressionResult); ``` 3. **Matrix Operations**: Handles matrix manipulations akin to linear algebra packages. ```javascript let matrixA = [[1, 2], [3, 4]]; let matrixB = [[5, 6], [7, 8]]; let product = math.multiply(matrixA, matrixB); console.table(product); ``` While specific details about formatting outputs might resemble Python's string interpolation techniques shown elsewhere [^5], these are implemented differently depending on language syntaxes. #### Comparison With Other Libraries Mentioned Earlier Unlike some frameworks listed previously focused primarily on web development aspects including Vue plugins [^4], Math.js concentrates solely on providing robust support across various domains requiring heavy computation tasks without being tied down specifically towards UI layer concerns unlike what was highlighted regarding Weapp considerations under MQTT contexts discussed before too [^1].
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