Project Euler: Problem 1 (Possible refactorings and run time optimizations)

Question

I have been hearing a lot about Project Euler so I thought I solve one of the problems in C#. The problem as stated on the website is as follows:

If w

Answer 1

Refactoring @mbeckish's very clever solution:

public int eulerProblem(int max) {
    int t1 = f(max, 3);
    int t2 = f(max, 5);
    int t3 = f(max, 3 * 5);
    return t1 + t2 - t3;
}

private int f(int max, int n) {
    int a = (max - 1) / n;
    return n * a * (a + 1) / 2;
}