While very short simple, the obtained upper bound in near-optimal. Perhaps the most ancient algorithm recorded in history is the Euclidean Algorithm. Published in 300 BC, the algorithm computes the greatest common divisor (gcd) of two integer numbers. (See Algorithm 1 for the description of the algorithm.)
Oct 28, 2019
Aug 23, 2018 · Abstract:We give a new simple and short ("one-line") analysis for the runtime of the well-known Euclidean Algorithm.
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Dec 17, 2019 · We give a new simple and short (“one-line”) analysis for the runtime of the well-known Euclidean Algorithm.
Oct 15, 2019 · Perhaps the most ancient algorithm recorded in history is the Euclidean Algorithm. Published in 300 BC, the algorithm computes the greatest ...
Dec 17, 2019 · We give a new simple and short (“one-line”) analysis for the runtime of the well-known Euclidean Algorithm. While very short simple, ...
We give a new simple and short ("one-line") analysis for the runtime of the well-known Euclidean Algorithm. While very short simple, the obtained upper bound in ...
We give a new simple and short ("one-line") analysis for the runtime of the well-known Euclidean Algorithm. While very short simple, the obtained upper ...
Nov 9, 2024 · One (More) Line on the Most Ancient Algorithm in History: Runtime of the Well-Known Euclidean Algorithm - Bruno Grenet and Ilya Volkovich.
Jan 9, 2020 · The Euclidean algorithm for finding the Greatest Common Divisor of two positive integer numbers dates back to about 300 BC where it is ...
"[The Euclidean algorithm] is the granddaddy of all algorithms, because it is the oldest nontrivial algorithm that has survived to the present day."