C语言生成用三元组设计一个可进行有理数四则运算的演示程序 把加法 減法 除法 和乘法也編譯出來

为了在C语言中创建一个支持有理数（分数形式）的四则运算演示程序，我们可以使用结构体表示分数（三元组），包含分子（numerator）、分母（denominator）以及一些辅助函数进行加、减、乘、除操作。下面是一个简单的示例：

首先，定义一个分数结构体（fraction）：

#include <stdio.h>
#include <stdlib.h>

typedef struct {
    int numerator;
    int denominator;
} Fraction;

// 初始化分数
Fraction create_fraction(int num, int den) {
    Fraction frac;
    if (den != 0) {
        frac.numerator = num;
        frac.denominator = den;
    } else {
        printf("Error: Division by zero not allowed.\n");
        return frac;
    }
    return frac;
}

// 加法
Fraction add(Fraction a, Fraction b) {
    int new_numerator = (a.numerator * b.denominator + b.numerator * a.denominator);
    int new_denominator = a.denominator * b.denominator;
    return create_fraction(new_numerator, new_denominator);
}

// 减法
Fraction subtract(Fraction a, Fraction b) {
    int new_numerator = (a.numerator * b.denominator - b.numerator * a.denominator);
    return create_fraction(new_numerator, a.denominator * b.denominator);
}

// 乘法
Fraction multiply(Fraction a, Fraction b) {
    int new_numerator = a.numerator * b.numerator;
    int new_denominator = a.denominator * b.denominator;
    return create_fraction(new_numerator, new_denominator);
}

// 除法，这里处理简化分数
Fraction divide(Fraction a, Fraction b) {
    int gcd = __gcd(a.numerator, a.denominator); // 使用欧几里得算法求最大公约数
    a.numerator /= gcd;
    a.denominator /= gcd;

    int result_numerator = a.numerator * b.denominator;
    int result_denominator = a.denominator * b.numerator;
    
    return create_fraction(result_numerator, result_denominator);
}

int main() {
    Fraction a = create_fraction(4, 5);
    Fraction b = create_fraction(2, 7);

    Fraction sum = add(a, b);
    Fraction diff = subtract(a, b);
    Fraction prod = multiply(a, b);
    Fraction div = divide(a, b);

    printf("加法: %d/%d + %d/%d = %d/%d\n", a.numerator, a.denominator, b.numerator, b.denominator, sum.numerator, sum.denominator);
    printf("减法: %d/%d - %d/%d = %d/%d\n", a.numerator, a.denominator, b.numerator, b.denominator, diff.numerator, diff.denominator);
    printf("乘法: %d/%d * %d/%d = %d/%d\n", a.numerator, a.denominator, b.numerator, b.denominator, prod.numerator, prod.denominator);
    printf("除法: %d/%d / %d/%d = %d/%d\n", a.numerator, a.denominator, b.numerator, b.denominator, div.numerator, div.denominator);

    return 0;
}

这个程序实现了基本的分数四则运算。注意，实际应用中可能需要更完善的错误处理和输入验证。运行此程序将会显示每个操作的结果。