11903 - Rational class   

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Description

 Create a class called Rational for performing arithmetic with fraction.

  • Use integer variables to represent the private data of the class─the numerator and the denominator.

  • Provide a constructor that enables an object of this class to be initialized when it’s declared. The constructor should contain default values in case no initializers are provided and should store the fraction in reduced form. For example, the fraction 2/4 would be stored in object as 1 in the numerator and 2 in the denominator.
  • Provide public member functions that perform each of the following tasks:

                  a.) Adding two Rational numbers. The result should be stored in reduced form.

                  b.) Subtracting two Rational numbers. The result should be stored in reduced form.

                  c.) Multiplying two Rational numbers. The result should be stored in reduced form.

                  d.) Dividing two Rational numbers. The result should be stored in reduced form.

                  e.) Printing Rational numbers in form a/b, where a is the numerator and b is the denominator.

P.S. : 

  1. You need to implement a private member function reduce() that will be used in your constructor and the public arithmetic member functions to derive the required reduced form. 
  2. In reduce(), pay attention to the case that one of the numerator and denominator of a rational number is negative. In this case, the negative sign “-” should be placed at the numerator.

Note :

      This problem involves three files.

  • function.h: Class definition of Rational.
  • function.cpp: Member-function definitions of Rational.
  • main.cpp: A driver program to test your class implementation.

 

main.cpp

#include <iostream>
#include "function.h" // include definition of class Rational
using namespace std;

int main()
{
    char s1;
    int s2, s3, s4, s5;

    Rational x;
    while(cin >>s1>>s2>>s3>>s4>>s5)
    {
        if(cin.eof())
        {
            break;
        }

        Rational c(s2, s3), d(s4, s5);

        if(s1 == '+')
        {
            x = c.addition( d ); // adds object c and d; sets the value to x
            x.printRational(); // prints rational object x
            cout << '\n';
        }
        else if(s1 == '-')
        {
            x = c.subtraction( d ); // subtracts object c and d
            x.printRational(); // prints rational object x
            cout << '\n';
        }
        else if(s1 == '*')
        {
            x = c.multiplication( d ); // multiplies object c and d
            x.printRational(); // prints rational object x
            cout << '\n';
        }
        else if(s1 == '/')
        {
            x = c.division( d ); // divides object c and d
            x.printRational(); // prints rational object x
            cout << '\n';
        }
    }
} // end main

  function.h 

#ifndef RATIONAL_H
#define RATIONAL_H
class Rational
{
public:
    Rational( int = 0, int = 1 ); // default constructor
    Rational addition( const Rational & ) const; // function addition
    Rational subtraction( const Rational & ) const; // function subtraction
    Rational multiplication( const Rational & ) const; // function multi.
    Rational division( const Rational & ) const; // function division
    void printRational () const; // print rational format
private:
    int numerator; // integer numerator
    int denominator; // integer denominator
    void reduce();
}; // end class Rational
#endif

Input

There are five strings in each line: S1 S2 S3 S4 S5

  • S1 represents an operator (+,-,*,/)
  • S2 and S3 represent the numerator and denominator of the first operand, respectively.
  • S4 and S5 represent the numerator and denominator of the second operand, respectively.

Input terminated by EOF.

 

Output

For every given operation, your program should print the corresponding result followed by a new line character.

Sample Input  Download

Sample Output  Download

Partial Judge Code

11903.cpp

Partial Judge Header

11903.h

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