The four arithmetic operations of the score (rational number) are PAT1088 and the four arithmetic operations are pat1088.

The four arithmetic operations of the score (rational number) are PAT1088 and the four arithmetic operations are pat1088.

PAT-B1088. Rational Arithmetic (20)

Http://www.patest.cn/contests/pat-a-practise/1088

  1 #include <iostream>  2 #include <cmath>  3 using namespace std;  4 typedef long long LL;  5 typedef struct Fraction{  6     LL up,down;  7 };  8 LL gcd(LL a,LL b){  9     return b==0 ? a : gcd(b,a%b); 10 } 11 Fraction reduction(Fraction res){ 12     if(res.down<0){ 13         res.down=-res.down; 14         res.up=-res.up; 15     } 16     else if(res.up==0) 17         res.down==1; 18     else{ 19         LL d=gcd(abs(res.up),res.down); 20         res.up/=d; 21         res.down/=d; 22     } 23     return res; 24 } 25 Fraction add(Fraction a,Fraction b){ 26     Fraction res; 27     res.up=a.up*b.down+a.down*b.up; 28     res.down=a.down*b.down; 29     return reduction(res); 30 } 31 Fraction sub(Fraction a,Fraction b){ 32     Fraction res; 33     res.up=a.up*b.down-a.down*b.up; 34     res.down=a.down*b.down; 35     return reduction(res); 36 } 37 Fraction multi(Fraction a,Fraction b){ 38     Fraction res; 39     res.up=a.up*b.up; 40     res.down=a.down*b.down; 41     return reduction(res); 42 } 43 Fraction divide(Fraction a,Fraction b){ 44     Fraction res; 45     res.up=a.up*b.down; 46     res.down=a.down*b.up; 47     return reduction(res); 48 } 49 void showFraction(Fraction res){ 50     res=reduction(res); 51     if(res.up<0) 52         printf("("); 53     if(res.down==1) 54         printf("%lld",res.up); 55     else if(res.up==0) 56         printf("0"); 57     else if(abs(res.up)>res.down){ 58         printf("%lld %lld/%lld",res.up/res.down,abs(res.up)%res.down,res.down); 59     } 60     else{ 61         printf("%lld/%lld",res.up,res.down); 62     } 63     if(res.up<0) 64         printf(")"); 65 } 66 void output(Fraction a,Fraction b,char ch){ 67     showFraction(a); 68     printf(" %c ",ch); 69     showFraction(b); 70     printf(" = "); 71     switch(ch){ 72         case '+': 73             showFraction(add(a,b)); 74             break; 75         case '-': 76             showFraction(sub(a,b)); 77             break; 78         case '*': 79             showFraction(multi(a,b)); 80             break; 81         case '/': 82             if(b.up==0) 83                 printf("Inf"); 84             else 85                 showFraction(divide(a,b)); 86             break; 87         default: 88             printf("error"); 89             break; 90     } 91     printf("\n"); 92 } 93 int main() 94 { 95     Fraction a,b,ans; 96     while(scanf("%lld/%lld %lld/%lld",&a.up,&a.down,&b.up,&b.down)!=EOF){ 97         a=reduction(a); 98         b=reduction(b); 99         output(a,b,'+');100         output(a,b,'-');101         output(a,b,'*');102         output(a,b,'/');103     }104     return 0;105 }