java中多分数类Fraction的实现，private static void norm(Fraction a,Fraction b)通分及加减乘除运算

以下是Java中多分数类Fraction的实现，包括通分及加减乘除运算的示例：

public class Fraction {
    private int numerator; // 分子
    private int denominator; // 分母

    // 构造函数
    public Fraction(int numerator, int denominator) {
        this.numerator = numerator;
        this.denominator = denominator;
    }

    // 获取分子
    public int getNumerator() {
        return numerator;
    }

    // 获取分母
    public int getDenominator() {
        return denominator;
    }

    // 通分
    private static void norm(Fraction a, Fraction b) {
        int lcm = lcm(a.denominator, b.denominator);
        a.numerator *= lcm / a.denominator;
        b.numerator *= lcm / b.denominator;
        a.denominator = lcm;
        b.denominator = lcm;
    }

    // 加法
    public static Fraction add(Fraction a, Fraction b) {
        Fraction res = new Fraction(0, 1);
        norm(a, b);
        res.numerator = a.numerator + b.numerator;
        res.denominator = a.denominator;
        return res;
    }

    // 减法
    public static Fraction subtract(Fraction a, Fraction b) {
        Fraction res = new Fraction(0, 1);
        norm(a, b);
        res.numerator = a.numerator - b.numerator;
        res.denominator = a.denominator;
        return res;
    }

    // 乘法
    public static Fraction multiply(Fraction a, Fraction b) {
        Fraction res = new Fraction(0, 1);
        res.numerator = a.numerator * b.numerator;
        res.denominator = a.denominator * b.denominator;
        return res;
    }

    // 除法
    public static Fraction divide(Fraction a, Fraction b) {
        Fraction res = new Fraction(0, 1);
        res.numerator = a.numerator * b.denominator;
        res.denominator = a.denominator * b.numerator;
        return res;
    }

    // 求最大公约数
    private static int gcd(int a, int b) {
        return b == 0 ? a : gcd(b, a % b);
    }

    // 求最小公倍数
    private static int lcm(int a, int b) {
        return a * b / gcd(a, b);
    }
}

示例：

Fraction f1 = new Fraction(1, 3);
Fraction f2 = new Fraction(2, 5);

// 通分
Fraction.norm(f1, f2);

// 加法
Fraction res1 = Fraction.add(f1, f2);
System.out.println(res1.getNumerator() + "/" + res1.getDenominator()); // 输出：11/15

// 减法
Fraction res2 = Fraction.subtract(f1, f2);
System.out.println(res2.getNumerator() + "/" + res2.getDenominator()); // 输出：-1/15

// 乘法
Fraction res3 = Fraction.multiply(f1, f2);
System.out.println(res3.getNumerator() + "/" + res3.getDenominator()); // 输出：2/15

// 除法
Fraction res4 = Fraction.divide(f1, f2);
System.out.println(res4.getNumerator() + "/" + res4.getDenominator()); // 输出：5/6