Solution: Euclidean Algorithm
Explore the Euclidean algorithm to find the greatest common divisor of two numbers by repeatedly replacing the larger number with their difference. Learn both the recursive and iterative C# solutions, and understand the algorithm's efficient O(log min(x, y)) time complexity for coding interviews.
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 one of them is replaced by the difference between the two numbers.
Let’s look at an example:
The GCD of and is ( and ...