创建一个Fraction类执行分数运算

创建一个`Fraction`类来执行分数运算，你可以定义一个包含分子（numerator）和分母（denominator）的类，并提供加法、减法、乘法和除法的方法。下面是一个简单的实现示例：

public class Fraction {
    private int numerator;
    private int denominator;

    // 构造器
    public Fraction(int numerator, int denominator) {
        if (denominator == 0) {
            throw new IllegalArgumentException("Denominator cannot be zero");
        }
        this.numerator = numerator;
        this.denominator = denominator;
    }

    // 获取或设置分子/分母
    public int getNumerator() { return numerator; }
    public int getDenominator() { return denominator; }

    // 设置分母为最小公倍数，避免简化后的结果不正确
    private int gcd(int a, int b) {
        if (b == 0) {
            return a;
        } else {
            return gcd(b, a % b);
        }
    }

    // 私有方法用于简化分数
    private void simplify() {
        int gcdValue = gcd(numerator, denominator);
        numerator /= gcdValue;
        denominator /= gcdValue;
    }

    // 加法
    public Fraction add(Fraction other) {
        int sumNumerator = numerator * other.getDenominator() + other.numerator * denominator;
        int sumDenominator = denominator * other.getDenominator();
        simplify();
        return new Fraction(sumNumerator, sumDenominator);
    }

    // 减法
    public Fraction subtract(Fraction other) {
        int differenceNumerator = numerator * other.getDenominator() - other.numerator * denominator;
        int differenceDenominator = denominator * other.getDenominator();
        simplify();
        return new Fraction(differenceNumerator, differenceDenominator);
    }

    // 乘法
    public Fraction multiply(Fraction other) {
        int productNumerator = numerator * other.numerator;
        int productDenominator = denominator * other.denominator;
        simplify();
        return new Fraction(productNumerator, productDenominator);
    }

    // 除法，注意要检查除数是否为零
    public Fraction divide(Fraction other) {
        if (other.denominator != 0) {
            int quotientNumerator = numerator * other.denominator;
            int quotientDenominator = denominator * other.numerator;
            simplify();
            return new Fraction(quotientNumerator, quotientDenominator);
        } else {
            throw new ArithmeticException("Cannot divide by zero");
        }
    }

    @Override
    public String toString() {
        return numerator + "/" + denominator;
    }
}