I’ve used Euclid’s algorithm to find the greatest common divisor of two numbers; it can be iterated to obtain the GCD of a larger set of numbers. private static long gcd(long a, long b) { while (b > 0) { long temp = b; b = a % b; // % is remainder a = … Read more
The least common multiple (lcm) of a and b is their product divided by their greatest common divisor (gcd) ( i.e. lcm(a, b) = ab/gcd(a,b)). So, the question becomes, how to find the gcd? The Euclidean algorithm is generally how the gcd is computed. The direct implementation of the classic algorithm is efficient, but there … Read more
You can compute the LCM of more than two numbers by iteratively computing the LCM of two numbers, i.e. lcm(a,b,c) = lcm(a,lcm(b,c))