Solution: Euclidean Algorithm
Explore how the Euclidean Algorithm calculates the greatest common divisor of two numbers using a divide and conquer approach. Understand both recursive and iterative solutions, and grasp the efficiency of the algorithm with a logarithmic time complexity, enabling you to solve related coding interview problems effectively.
We'll cover the following...
We'll cover the following...
How does the Euclidean Algorithm work?
The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger value of the two is replaced by the difference between both numbers.
Let’s look at an example:
The GCD of and is ( = x and = x ...
Source: https://en.wikipedia.org/wiki/Euclidean_algorithm