I am writing a simple program as follow: Given two numbers M and N, p is from [M,N] and q is from [1,p-1], find all irreducible fractions of p/q. My idea is brute force all possible value of p, q. And using HashSet to avoid duplicated fraction. However, somehow the contains function not working as expected.
My code
import java.util.HashSet;
import java.util.Set;
public class Fraction {
private int p;
private int q;
Fraction(int p, int q) {
this.p = p;
this.q = q;
}
public static int getGCD(int a, int b) {
if (b == 0)
return a;
else
return getGCD(b, a % b);
}
public static Fraction reduce(Fraction f) {
int c = getGCD(f.p, f.q);
return new Fraction(f.p / c, f.q / c);
}
public static HashSet<Fraction> getAll(int m, int n) {
HashSet<Fraction> res = new HashSet<Fraction>();
for (int p = m; p <= n; p++)
for (int q = 1; q < p; q++) {
Fraction f = new Fraction(p,q);
Fraction fr = reduce(f);
if (!res.contains(fr))
res.add(fr);
}
return res;
}
public static void print(Fraction f) {
System.out.println(f.p + "/" + f.q);
}
public static void main(String[] args) {
// TODO Auto-generated method stub
HashSet<Fraction> res = getAll(2, 4);
for (Fraction f : res)
print(f);
}
}
Here is the output of program
4/3
3/1
4/1
2/1
3/2
2/1
you can see the fraction 2/1 is duplicated. Anyone can help me figure out why and how to fix it. Many thanks.