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Data Structures & Algorithms In Go

Solution Review: Greatest Common Divisor

Explore the recursive implementation of Euclid’s algorithm to find the greatest common divisor (GCD) of two integers in Go. Understand base cases, the recursive process, and analyze the time complexity of this efficient solution.

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Solution

There are many ways to find the GCD of two integers. We’ll use Euclid’s algorithm to calculate the GCD:

  • If n = 0 then GCD(n, m) = m. This is a termination condition.

  • If m = 0 then GCD(n, m) = n. This is a termination condition.

  • Write n in the form of a quotient remainder (n=mq+r)(n = mq + r) ...