43. Multiply Strings

本文介绍了一种字符串乘法的实现方法,通过将字符串转换为整数进行计算,并详细展示了如何处理进位和字符串结果的生成过程。

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<span style="font-size:18px;">string multiply(string num1, string num2) {
    if (num1 == "0" || num2 == "0") return "0";
    int sa = num1.size();
    int sb = num2.size();
    vector<int> temp(sa + sb, 0);
    for (int i = sa - 1; i >= 0; i--) {
        int a = num1[i] - '0';
        for (int j = sb - 1; j >= 0; j--) {
            int b = num2[j] - '0';
            int product = a*b;  
            int carry = (temp[j + i + 1] + product) / 10;
            temp[j + i + 1] = (temp[j + i + 1]+product) % 10;
            int x = 0;
            while (carry) {
                int p = temp[j + i - x] + carry;
                temp[j + i - x] = p % 10;
                carry = p / 10;
                x++;
            }
        }
    }
    while (temp[0] == 0) temp.erase(temp.begin());
    string res;
    for (int i = 0; i < temp.size(); i++) {
        res += to_string(temp[i]);
    }
    return res;
}</span>

03-27
### 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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