[C++ ] 跨年禮物之二

[roymustang (大佐)]

class Fractions{
        public:
                Fractions(){
                        numerator = 1;
                        denominator = 1;
                }//建構子 初始化分子分母的數值

                int numerator;
                int denominator;

        void sum(Fractions &a, Fractions &b){
                int tmp, x, y, GCD;
                int D, N;

                x = a.denominator;
                y = b.denominator;

                for(;x&&y;x%=y,tmp=x,x=y,y=tmp);
                GCD = x > 0 ? x : y;
                //找出最大公因數

                D = a.denominator * b.denominator / GCD;
                N = a.numerator * D / a.denominator + b.numerator * D / b.denominator;

                x = D;
                y = N;

                for(;x&&y;x%=y,tmp=x,x=y,y=tmp);

                GCD = x > 0 ? x : y;
                //找出最大公因數 (輾轉相除法)

                a.denominator = D / GCD;
                a.numerator = N / GCD;
                //對最後的結果約分
        }


        void display(void){
                try{
                        throw denominator;
                }
                catch(int e){
                        if(e)
                                cout << numerator << "/" << denominator << endl;
                }
                //印出分數
        }
};

只放加法部分 其他三種運算還是要大家想一下

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