Problem in “between two set” hackerrank problem

Problem:You will be given two arrays of integers and asked to determine all integers that satisfy the following two conditions:

The elements of the first array are all factors of the integer being considered The integer being considered is a factor of all elements of the second array These numbers are referred to as being between the two arrays. You must determine how many such numbers exist.

for example :Sample Input

2 3
2 4
16 32 96

Sample Output

3

My code:

public static int getTotalX(int n, int m, List<Integer> a, List<Integer> b) {
    int total=0,x=0,y=0;
    for(int i=a.get(n-1);i<=b.get(0);i++)
    {
        for(int j=0;j<n;j++)
        {   
            //to check if the elements in list 'a' can divide the integer.
            if(i%a.get(j)==0)
            {
            y++;
            }
        }
        //if every element in list a can divide the integer go forward
        if(y==n)
            {   
                for(int k=0;k<m;k++)
                {
                    //to check if the elements of list 'b' is divisible by integer
                    if(b.get(k)%i==0)
                    {
                    x++;
                    }
                }  
                y=0;
               //if every element of 'b' is divisible by integer, count how many                        such integers are there
                if(x==m)
                {    
                    total++;
                    x=0;      
                }
            }
    }
    return total;

}

My code is not giving proper solution and I cant understand why.

Answer

private static int getTotalX(int n, int m, List<Integer> a, List<Integer> b) {
    int total = 0, x = 0, y = 0;
    for (int i = a.get(n - 1); i <= b.get(0); i++) {
        for (int j = 0; j < n; j++) {
            if (i % a.get(j) == 0) {
                y++;
            }
        }
        if (y == n) {
            for (int k = 0; k < m; k++) {
                if (b.get(k) % i == 0) {
                    x++;
                }
            }
            if (x == m) {
                total++;
            }
        }
        // changes here
        y = 0;
        x = 0;
    }
    return total;
}

Great progress. You were very close. Algorithm is on point and efficient.

Only one mistake: you were resetting the variables x and y inside the if conditions.

What if the condition is not true? Then the variables are never reset and all the future computations are done on those wrong values in x and y.

---

Like Java8? Here is a one-liner:

return (int) IntStream.rangeClosed(a.get(n - 1), b.get(0))
        .filter(i -> a.stream().filter(value -> i % value == 0).count() == a.size())
        .filter(i -> b.stream().filter(value -> value % i == 0).count() == b.size())
        .count();