/* 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 N. ''' ''' This solution is based on the pattern that the successive numbers in the series follow: 0+3,+2,+1,+3,+1,+2,+3. */ #include int main() { int n = 0; int sum = 0; scanf("%d", &n); int terms = (n - 1) / 3; sum += ((terms)*(6 + (terms - 1) * 3)) / 2; //sum of an A.P. terms = (n - 1) / 5; sum += ((terms)*(10 + (terms - 1) * 5)) / 2; terms = (n - 1) / 15; sum -= ((terms)*(30 + (terms - 1) * 15)) / 2; printf("%d\n", sum); }