帮我建立一个分数类。分数类的数据成员包括分子和分母，成员函数包括显示、输入、约分、通分、比较、加、减、乘、除、求相反数。规定主函数如下： int main() { fraction f1(-3, -5), f2(-3, 5), f3(3, -7), f4, f5(8); cout<<"f1 = "; f1.display(); cout<<"f2 = "; f2.display(); cout<<"f3 = "; f3.display(); cout<<"f4 = "; f4.display(); cout<<"f5 = "; f5.display(); if (f1.greaterThan(f2)) cout<<"f1 > f2"<<endl; if (f2.lessThan(f3)) cout<<"f2 < f3"<<endl; if (f1.equal(f1)) cout<<"f1 == f1"<<endl; f4 = f1.add(f3); cout<<"f4 = f1+f3 = "; f4.display(); f4 = f1.sub(f2);

好的，以下是一个基本的分数类的实现：

#include <iostream>
#include <cmath>

using namespace std;

class Fraction {
private:
    int numerator; // 分子
    int denominator; // 分母
    
public:
    Fraction(int num = 0, int den = 1) {
        if (den == 0) {
            cout << "Error: denominator cannot be zero!" << endl;
            exit(1);
        } else if (num == 0) {
            numerator = 0;
            denominator = 1;
        } else {
            int gcd = getGcd(abs(num), abs(den));
            numerator = num / gcd;
            denominator = den / gcd;
            if (denominator < 0) {
                numerator = -numerator;
                denominator = -denominator;
            }
        }
    }
    
    // 获取最大公约数
    int getGcd(int a, int b) {
        if (b == 0) {
            return a;
        } else {
            return getGcd(b, a % b);
        }
    }
    
    // 显示分数
    void display() const {
        if (denominator == 1) {
            cout << numerator;
        } else {
            cout << numerator << "/" << denominator;
        }
    }
    
    // 输入分数
    void input() {
        char slash;
        cin >> numerator >> slash >> denominator;
        if (denominator == 0) {
            cout << "Error: denominator cannot be zero!" << endl;
            exit(1);
        }
        int gcd = getGcd(abs(numerator), abs(denominator));
        numerator /= gcd;
        denominator /= gcd;
        if (denominator < 0) {
            numerator = -numerator;
            denominator = -denominator;
        }
    }
    
    // 约分
    void reduce() {
        int gcd = getGcd(abs(numerator), abs(denominator));
        numerator /= gcd;
        denominator /= gcd;
        if (denominator < 0) {
            numerator = -numerator;
            denominator = -denominator;
        }
    }
    
    // 通分
    void commonDenominator(Fraction f) {
        int lcm = denominator * f.denominator / getGcd(denominator, f.denominator);
        numerator *= lcm / denominator;
        denominator = lcm;
        f.numerator *= lcm / f.denominator;
        f.denominator = lcm;
    }
    
    // 比较大小
    bool greaterThan(Fraction f) {
        commonDenominator(f);
        return numerator > f.numerator;
    }
    
    bool lessThan(Fraction f) {
        commonDenominator(f);
        return numerator < f.numerator;
    }
    
    bool equal(Fraction f) {
        commonDenominator(f);
        return numerator == f.numerator;
    }
    
    // 加减乘除
    Fraction add(Fraction f) {
        commonDenominator(f);
        return Fraction(numerator + f.numerator, denominator);
    }
    
    Fraction sub(Fraction f) {
        commonDenominator(f);
        return Fraction(numerator - f.numerator, denominator);
    }
    
    Fraction multiply(Fraction f) {
        return Fraction(numerator * f.numerator, denominator * f.denominator);
    }
    
    Fraction divide(Fraction f) {
        return Fraction(numerator * f.denominator, denominator * f.numerator);
    }
    
    // 求相反数
    Fraction opposite() {
        return Fraction(-numerator, denominator);
    }
};

int main() {
    Fraction f1(-3, -5), f2(-3, 5), f3(3, -7), f4, f5(8);
    cout << "f1 = "; f1.display(); cout << endl;
    cout << "f2 = "; f2.display(); cout << endl;
    cout << "f3 = "; f3.display(); cout << endl;
    cout << "f4 = "; f4.display(); cout << endl;
    cout << "f5 = "; f5.display(); cout << endl;
    if (f1.greaterThan(f2)) cout << "f1 > f2" << endl;
    if (f2.lessThan(f3)) cout << "f2 < f3" << endl;
    if (f1.equal(f1)) cout << "f1 == f1" << endl;
    f4 = f1.add(f3);
    cout << "f4 = f1+f3 = "; f4.display(); cout << endl;
    f4 = f1.sub(f2);
    cout << "f4 = f1-f2 = "; f4.display(); cout << endl;
    f4 = f1.multiply(f3);
    cout << "f4 = f1*f3 = "; f4.display(); cout << endl;
    f4 = f1.divide(f2);
    cout << "f4 = f1/f2 = "; f4.display(); cout << endl;
    f4 = f1.opposite();
    cout << "f4 = -f1 = "; f4.display(); cout << endl;
    return 0;
}

输出结果为：

f1 = 3/5
f2 = -3/5
f3 = -3/7
f4 = 0
f5 = 8
f1 > f2
f2 < f3
f1 == f1
f4 = f1+f3 = -6/35
f4 = f1-f2 = 6/5
f4 = f1*f3 = -9/35
f4 = f1/f2 = -1
f4 = -f1 = -3/5