1088. Rational Arithmetic (20)

你的名字 2022-05-27 23:51 160阅读 0赞

For two rational numbers, your task is to implement the basic arithmetics, that is, to calculate their sum, difference, product and quotient.

**Input Specification:**

Each input file contains one test case, which gives in one line the two rational numbers in the format "a1/b1 a2/b2". The numerators and the denominators are all in the range of *long int*. If there is a negative sign, it must appear only in front of the numerator. The denominators are guaranteed to be non-zero numbers.

**Output Specification:**

For each test case, print in 4 lines the sum, difference, product and quotient of the two rational numbers, respectively. The format of each line is "number1 operator number2 = result". Notice that all the rational numbers must be in their simplest form "k a/b", where **k** is the integer part, and **a/b** is the simplest fraction part. If the number is negative, it must be included in a pair of parentheses. If the denominator in the division is zero, output "Inf" as the result. It is guaranteed that all the output integers are in the range of *long int*.

**Sample Input 1:**

2/3 -4/2

**Sample Output 1:**

2/3 + (-2) = (-1 1/3)
    2/3 - (-2) = 2 2/3
    2/3 * (-2) = (-1 1/3)
    2/3 / (-2) = (-1/3)

**Sample Input 2:**

5/3 0/6

**Sample Output 2:**

1 2/3 + 0 = 1 2/3
    1 2/3 - 0 = 1 2/3
    1 2/3 * 0 = 0
    1 2/3 / 0 = Inf

--------------------

题目大意：

代码：

#include<stdio.h>
    #include<stdlib.h>
    long long a,b,c,a1,b1,c1,a2,c2,b2;
    long long gcd(long long a,long long b)
    {
        if(b==0)
            return a;
        else
            return gcd(b,a%b);
    }
    void output(char s)
    {
        if(c<0||a<0)
        {
            printf("(");
        }
        if(c==0&&a!=0)
        {
            printf("%lld/%lld",a,b);
        }
        else if(c!=0&&a==0)
        {
            printf("%lld",c);
        }
        else if(c!=0&&a!=0)
        {
            printf("%lld %lld/%lld",c,a,b);
        }
        else
        {
            printf("0");
        }
        if(c<0||a<0)
        {
            printf(")");
        }
        printf(" %c ",s);
        if(c1<0||a1<0)
        {
            printf("(");
        }
        if(c1==0&&a1!=0)
        {
            printf("%lld/%lld",a1,b1);
        }
        else if(c1!=0&&a1==0)
        {
            printf("%lld",c1);
        }
        else if(c1!=0&&a1!=0)
        {
            printf("%lld %lld/%lld",c1,a1,b1);
        }
        else
        {
            printf("0");
        }
        if(c1<0||a1<0)
        {
            printf(")");
        }
        printf(" = ");
        if(s=='/'&&c1==0&&a1==0)
        {
            if(a==0&&c==0)
                printf("0");
            else
            printf("Inf");
            return ;
        }
        if(c2<0||a2<0)
        {
            printf("(");
        }
        if(c2==0&&a2!=0)
        {
            printf("%lld/%lld",a2,b2);
        }
        else if(c2!=0&&a2==0)
        {
            printf("%lld",c2);
        }
        else if(c2!=0&&a2!=0)
        {
            printf("%lld %lld/%lld",c2,a2,b2);
        }
        else
        {
            printf("0");
        }
        if(c2<0||a2<0)
        {
            printf(")");
        }
        printf("\n");
    }
    void change()
    {
        c=a/b;
        if(c==0)
        a=a%b;
        else
        a=llabs(a)%b;
        long long tmp=gcd(llabs(a),b);
        a=a/tmp;
        b=b/tmp;
        c1=a1/b1;
        if(c1==0)
        a1=a1%b1;
        else
        a1=llabs(a1)%b1;
        tmp=gcd(llabs(a1),b1);
        a1=a1/tmp;
        b1=b1/tmp;
        //printf("%lld %lld\n",a1,b1);
    }
    void add()
    {
        if(c<0)
            a2=(c*b-a)*b1;
        else
            a2=(c*b+a)*b1;
        if(c1<0)
            a2+=(c1*b1-a1)*b;
        else
            a2+=(c1*b1+a1)*b;
        b2=b*b1;
        long long tmp=gcd(llabs(a2),b2);
        a2=a2/tmp;
        b2=b2/tmp;
        c2=a2/b2;
        if(c2==0)
        a2=a2%b2;
        else
        a2=llabs(a2)%b2;
        output('+');
    }
    void minus()
    {
        if(c<0)
            a2=(c*b-a)*b1;
        else
            a2=(c*b+a)*b1;
        if(c1<0)
            a2-=(c1*b1-a1)*b;
        else
            a2-=(c1*b1+a1)*b;
        b2=b*b1;
        long long tmp=gcd(llabs(a2),b2);
        a2=a2/tmp;
        b2=b2/tmp;
        c2=a2/b2;
        if(c2==0)
            a2=a2%b2;
        else
            a2=llabs(a2)%b2;
        output('-');
    }
    void multiply()
    {
        if(c<0)
            a2=(c*b-a);
        else
            a2=(c*b+a);
        if(c1<0)
            a2*=(c1*b1-a1);
        else
            a2*=(c1*b1+a1);
        b2=b*b1;
        long long tmp=gcd(llabs(a2),b2);
        a2=a2/tmp;
        b2=b2/tmp;
        c2=a2/b2;
        if(c2==0)
        a2=a2%b2;
        else
        a2=llabs(a2)%b2;
        output('*');
    }
    void divide()
    {
        if(c1==0&&a1==0)
            output('/');
        else
        {
            if(c<0)
                a2=(c*b-a);
            else
                a2=(c*b+a);
            a2*=b1;
            if(c1<0)
                b2=(c1*b1-a1);
            else
                b2=(c1*b1+a1);
            b2*=b;
            if(b2<0)
            {
                a2=-a2;
                b2=-b2;
            }
            long long tmp=gcd(llabs(a2),b2);
            a2=a2/tmp;
            b2=b2/tmp;
            c2=a2/b2;
            if(c2==0)
                a2=a2%b2;
            else
                a2=llabs(a2)%b2;
            output('/');
        }
    }
    int main()
    {
        long long i,j,n,m,k,t;
        scanf("%lld/%lld %lld/%lld",&a,&b,&a1,&b1);
        change();
        add();
        minus();
        multiply();
        divide();
        return 0;
    }