note

『素数夜曲』 Euclidean Algorithm

『素数夜曲』にこのような記述があって。 ユークリッド互除法のように，計算の方法が明確に定められ，有限回の実行で結果の定まる手続きを，アルゴリズムと呼びます―この言葉は，九世紀中頃にアラビア語初の代数学の書を著したムハンマド・イブン ...
GitHub

PPiyush005/Euclidean-GCD-Algorithm

This Java program calculates the Greatest Common Divisor (GCD) of two numbers using a recursive function based on the Euclidean Algorithm. It takes user input, processes the values recursively, and ...
GitHub

kapilpalanisamy/Comparative-Study-of-GCD-Algorithms-in-Multiple-Languages-Euclidean-and ...

Overview: This project benchmarks and compares six methods for computing the greatest common divisor (GCD): Euclidean Iterative, Euclidean Recursive, Stein’s Iterative, Stein’s Recursive, Subtraction ...
IEEE

On a parallel extended Euclidean algorithm

Abstract: A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using ...
IEEE

Diophantine Equation and the Euclidean Algorithm: Methods and Philosophy of the Algebraic ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...