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If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.

Find the sum of all the multiples of 3 or 5 below 1000.

To solve this in a brute force manner, we can count up to 1000, for each number we check to see if it divides into 3 and 5 leaving no remainder. If it does, they we add that number into our running total.

Heres my solution using Java.

public class Problem1 {

    public static void main(String[] args) {
        System.out.println(solve(1000));
    }

    public static int solve(final int subject) {
        int sum = 0;
        for (int i = 0; i < subject; i++) {
            if ((i % 3 == 0) || (i % 5 == 0)) {
                sum += i;
            }
        }
        return sum;
    }
}

The answer is 233168