Lehmer's GCD algorithm (Greatest Common Divisor Greatest Common Divisor)

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Time Complexity

$O(n^{2})$

Space Complexity

$O(n)$ bits

(Store only the current values being iterated on, and an O(1)-sized matrix with O(n)-bit numbers)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM? words size O(1)

Year

1940

Reference