第八周項目3（拓展）-分數和整形數的4則運算

/*
*程式的版權和版本聲明部分：
*Copyright(c)2014，煙台大學計算機學院學生
*All rights reserved.
*檔案名稱:
*作者：田成琳
*完成日期：2014  年 4 月 15 日
*版本号：v1.0
*對任務及求解方法的描述部分：
*輸入描述：無
*問題描述：實作分數類中的運算符重載，在分數類中可以完成分數的加減乘除（運算後再化簡）、
*程式輸出：- -
*問題分析：
*算法設計：
*/
#include<iostream>
using namespace std;
int gongbeis(int,int);
class CFraction
{
private:
    int nume;  // 分子
    int deno;  // 分母
public:
    CFraction(int n=0,int d=0);
    void set(int n,int d);
    friend CFraction operator + (CFraction &a,CFraction &b);
    friend CFraction operator + (int t,CFraction &a);
    friend CFraction operator + (CFraction &a,int t);
    friend CFraction operator - (CFraction &a,CFraction &b);
    friend CFraction operator - (int t,CFraction &a);
    friend CFraction operator - (CFraction &a,int t);
    friend CFraction operator * (CFraction &a,CFraction &b);
    friend CFraction operator * (int t,CFraction &a);
    friend CFraction operator * (CFraction &a,int t);
    friend CFraction operator / (CFraction &a,CFraction &b);
    friend CFraction operator / (int t,CFraction &a);
    friend CFraction operator / (CFraction &a,int t);
    void output();
    void setfy();
};
CFraction::CFraction(int n,int d)
{
    nume=n;
    deno=d;
}
void CFraction::set(int n,int d)
{
    nume=n;
    deno=d;
}
void CFraction::output()
{
    cout<<nume<<"/"<<deno<<endl;
}
CFraction operator + (CFraction &a,CFraction &b)
{
    int c=gongbeis(a.deno,b.deno);
    a.nume*=(c/a.deno);
    a.deno=c;
    b.nume*=(c/b.deno);
    b.deno=c;
    a.nume+=b.nume;
    a.setfy();
    CFraction t(a.nume,a.deno);
    return t;
}
CFraction operator + (int t,CFraction &a)
{
    CFraction d;
    int c=gongbeis(a.deno,t);
    a.nume*=(c/a.deno);
    a.deno=c;
    d.nume=t*c;
    d.deno=c;
    a.nume+=d.nume;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator + (CFraction &a,int t)
{
    CFraction d;
    int c=gongbeis(a.deno,t);
    a.nume*=(c/a.deno);
    a.deno=c;
    d.nume=t*c;
    d.deno=c;
    a.nume+=d.nume;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator - (CFraction &a,CFraction &b)
{
    int c=gongbeis(a.deno,b.deno);
    a.nume*=(c/a.deno);
    a.deno=c;
    b.nume*=(c/b.deno);
    b.deno=c;
    a.nume-=b.nume;
    a.setfy();
    CFraction t(a.nume,a.deno);
    return t;
}
CFraction operator - (int t,CFraction &a)
{
    CFraction d;
    int c=gongbeis(a.deno,t);
    a.nume*=(c/a.deno);
    a.deno=c;
    d.nume=t*c;
    d.deno=c;
    a.nume-=d.nume;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator - (CFraction &a,int t)
{
    CFraction d;
    int c=gongbeis(a.deno,t);
    a.nume*=(c/a.deno);
    a.deno=c;
    d.nume=t*c;
    d.deno=c;
    a.nume-=d.nume;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator * (CFraction &a,CFraction &b)
{
    a.nume*=b.nume;
    a.deno*=b.nume;
    a.setfy();
    CFraction t(a.nume,a.deno);
    return t;
}
CFraction operator * (int t,CFraction &a)
{
    a.nume*=t;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator * (CFraction &a,int t)
{
    a.nume*=t;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator / (CFraction &a,CFraction &b)
{
    int z;
    z=b.nume;
    b.nume=b.deno;
    b.deno=z;
    a.nume*=b.nume;
    a.nume*=a.deno;
    a.setfy();
    CFraction t(a.nume,a.deno);
    return t;
}
CFraction operator / (int t,CFraction &a)
{
    CFraction d;
    int z;
    z=a.nume;
    a.nume=a.deno;
    a.deno=z;
    a.nume*=t;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
CFraction operator / (CFraction &a,int t)
{
    CFraction d;
    d.nume=1;
    d.deno=t;
    a.nume*=d.nume;
    a.deno*=d.deno;
    a.setfy();
    CFraction b(a.nume,a.deno);
    return b;
}
int main()
{
    CFraction t,t1(4,5),t2(3,5),t3(4,15),t4(9,5),t5(-3,2),t6(6,11);
    CFraction t7(5,16),t8(1,3),t9(1,5),t10(1,5),t11(15,51),t12(1,8);
    cout<<"t1=";
    t1.output();
    cout<<"t2=";
    t2.output();
	cout<<"t1+t2=";
    t=t1+t2;
    t.output();
    cout<<"t3-t4=";
    t=t3-t4;
    t.output();
    cout<<"t5*t6=";
    t=t5*t6;
    t.output();
    cout<<"t7/t8=";
    t=t7/t8;
    t.output();
    cout<<"3+t9=";
    t=3+t9;
    t.output();
    cout<<"t10-2=";
    t=t10-2;
    t.output();
    cout<<"t11*3=";
    t=t11*3;
    t.output();
    cout<<"t12/2=";
    t=t12/2;
    t.output();
    return 0;
}
int gongbeis(int a,int b)
{
    int i;
    for(i=1; i<=a*b; i++)
        if(i%a==0&&i%b==0)
            break;
    return i;
}
void CFraction::setfy()
{
    int i,t;
    if(nume>deno)
        t=nume;
    else
        t=deno;
    for(i=2; i<=t; i++)
    {
        while(nume%i==0&&deno%i==0)
        {
            nume/=i;
            deno/=i;
        }
    }
}
           

運作結果：

心得體會：吃飯去。