/** * \file * \brief [Problem 1](https://projecteuler.net/problem=1) solution * * 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 /** Main function */ 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); }