/**
 * Rational.java
 * The purpose of this class is to print out rational numbers and find the gct if possible
 *
 * @author Cameron Lee
 * @version 11/13/2018
 */

public class Rational
{
    private int numerator;
    private int denominator;

    public Rational(int numerator, int denominator)
    {
        this.numerator = numerator;
        this.denominator = denominator;
    }

    public double getRationalAsDouble()
    {
        return(this.numerator/(double)this.denominator);
    }

    public void reduce()
    {
        // Finds the greatest common denominator
        int gcd = 1;
        for(int i = 1; i <= this.numerator && i <= this.denominator; i++)
        {
            // Checks to see if i can be factored from both numerator and denominator
            if(this.numerator % i == 0 && this.denominator % i == 0)
            {
            	gcd = i;
            }
        }

        this.numerator = this.numerator/gcd;
        this.denominator = this.denominator/gcd;
    }

    public void addRational(Rational rational)
    {
        // Creates new denominator
        int a = this.denominator * rational.denominator;

        // Creates new numerator
        int b = this.numerator * rational.denominator;
        int c = this.denominator * rational.numerator;

        this.numerator = b + c;
        this.denominator = a;

        // Reduces the number
        this.reduce();

    }

    public static void main(String[] args)
    {
        Rational half = new Rational(2, 4);
        Rational third = new Rational(3, 9);
        Rational fourth = new Rational(12, 48);

        System.out.println(half.numerator + "/" + half.denominator);
        System.out.println("+");
        System.out.println(third.numerator + "/" + third.denominator);
        System.out.println("=");

        half.addRational(third);

        System.out.println(half.numerator + "/" + half.denominator);

        System.out.println("");

        System.out.println(fourth.numerator + "/" + fourth.denominator);
        System.out.println("=");

        fourth.reduce();

        System.out.println(fourth.numerator + "/" + fourth.denominator);

    }

}