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#include <iostream>
using namespace std;
class Rational
{
private:
int numerator, denominator;
public:
// Constructor builds a rational number n/d
Rational(int n, int d):numerator(n), denominator(d)
{
reduce();
}
Rational()
{
numerator = 1;
denominator = 1;
}
void setFraction(int, int);
friend ostream &operator<<(ostream &output, Rational);
friend Rational operator*(Rational myNumber, Rational mult);
friend Rational operator/(Rational myNumber, Rational div);
private:
// This member function transforms a rational number into
// reduced form where the numerator and denominator have 1
// as greatest common factor
void reduce();
};
//************************************************************
// This member function transforms a rational number into *
// reduced form where the numerator and denominator have 1 *
// as greatest common factor. *
//************************************************************
void Rational::reduce()
{
bool negative = (numerator < 0) != (denominator < 0);
numerator = abs(numerator);
denominator = abs(denominator);
int factor = 2;
while (factor <= min(numerator, denominator))
{
if (numerator % factor == 0 && denominator % factor == 0)
{
numerator = numerator / factor;
denominator = denominator / factor;
continue;
}
factor ++;
}
if (negative)
numerator = - numerator;
}
ostream &operator<<(ostream &output, Rational myNumber)
{
output << myNumber.numerator << "/" << myNumber.denominator;
return output;
}
Rational operator*(Rational myNumber, Rational mult)
{
Rational multiplied;
multiplied.numerator = myNumber.numerator * mult.numerator;
multiplied.denominator = myNumber.denominator * mult.denominator;
multiplied.reduce();
return multiplied;
}
Rational operator/(Rational myNumber, Rational div)
{
Rational divided;
divided.numerator = myNumber.numerator * div.denominator;
divided.denominator = myNumber.denominator * div.numerator;
divided.reduce();
return divided;
}
void Rational::setFraction(int x , int y)
{
numerator = x;
denominator = y;
}
int main()
{
Rational number1, number2, result;
int x, y;
char sign;
cout << "What is the numerator and denominator for the first number\n"
<< "seperated by a space: ";
cin >> x >> y;
number1.setFraction(x,y);
cout << "What is the numerator and denominator for the second number\n"
<< "seperated by a space: ";
cin >> x >> y;
number2.setFraction(x,y);
cout << "Which operation would you like to perform (+, -, *, /): ";
cin >> sign;
if (sign == '*')
result = number1 * number2;
else if (sign == '/')
result = number1 / number2;
/*else if (sign == '+')
result = number1 + number2;
else if (sign == '-')
result = number1 - number2;
else
{
cout << "Invalid sign" << endl;
return 0;
}
*/
cout << number1 << " " << sign << " " << number2 << " = " << result << endl;
system ("pause");
return 0;
}
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