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What is the total running time of Euclid’s algorithm?

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What is the total running time of Euclid’s algorithm?

(a) O(N)

(b) O(N log M)

(c) O(N log N)

(d) O(log N +1)

I have been asked this question in an interview.

My enquiry is from Number Theory in section Number Theory of Data Structures & Algorithms II

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Best answer
The correct choice is (a) O(N)

The best explanation: The total running time of Euclid’s algorithm according to Lame’s analysis is found to be O(N).

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