Linear Combination Finder

//How to find linear combinations.
// Given 'result', 'm' and 'n', find 'a' and 'b' such that the following expression is true.
//  result = m*a + n*b.

void foo(int m, int n, int result, int low, int high)
{
    List<Integer> aList = new ArrayList<Integer>();
    List<Integer> bList = new ArrayList<Integer>();
    for(int i = low; i < high; i++)
    {
        aList.add(m*i);
        bList.add(n*i);
    }
    for(Integer ia : aList)
    {
        for(Integer ib : bList)
        {
            if((ia+ib) == result)
            {
                System.out.println("pair found: (" + ia + ", "+ ib + ")");
            }
        }
    }
}