// 2110101 : Lab8 (2545)
// dept. of computer engineering
// Chulalongkorn Univ.
import jlab.JLabIO;
public class Rational {
int numerator;
int denominator;
//--------------------------------------------------------
// an object method returning the recripocal of "this"
// rational number.
public Rational recripocate() {
int temp = this.numerator;
this.numerator = this.denominator;
this.denominator = temp;
return new Rational(this.numerator, this.denominator);
}
//--------------------------------------------------------
// an object method returning the result of "this"
// rational number multiplied by a.
public Rational multiply(Rational a) {
Rational b = new Rational(this.numerator, a.denominator);
Rational c = new Rational(a.numerator, this.denominator);
b.numerator *= c.numerator;
b.denominator *= c.denominator;
return b;
}
//--------------------------------------------------------
// a class method for multiplying two matrices of rational
// numbers (matrices a and b).
public static Rational[][] mulMatrix(Rational[][] a, Rational[][] b) {
int aRow = a.length;
int aCol = a[0].length;
int bRow = b.length;
int bCol = b[0].length;
Rational[][] c = new Rational [aRow][bCol];
for (int i = 0; i < aRow; i++) {
for (int j = 0; j < bCol; j++) {
c[i][j] = new Rational();
for (int k = 0; k < aCol; k++)
c[i][j] = c[i][j].add(a[i][k].multiply(b[k][j]));
}
}
return c;
}
//--------------------------------------------------------
// you can use the main method for your own testing (optional).
public static void main(String[] args) {
}
//--------------------------------------------------------
public Rational() {
this(0, 1);
}
public Rational(int n, int d) {
int g = gcd(n, d);
n = n / g;
d = d / g;
this.numerator = n;
this.denominator = d;
}
public Rational add(Rational a) {
int g = gcd(this.denominator, a.denominator);
int d = this.denominator / g * a.denominator;
int n = this.numerator * d / this.denominator +
a.numerator * d / a.denominator;
return new Rational(n, d);
}
public String toString() {
return this.numerator + "/" + this.denominator;
}
public static int gcd(int a, int b) {
return b == 0 ? a : gcd(b, a % b);
}
}
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