輾轉相除法演算法知識摘要

Euclidean algorithm - Wikipedia, the free encyclopedia
In mathematics, the Euclidean algorithm [a], or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or ...

輾轉相除法 - 維基百科，自由的百科全書
在 數學 中， 輾轉相除法 ，又稱 歐幾里得演算法 ，是求 最大公因數 的演算法。輾轉相除法首次出現於 歐幾里得 的《 幾何原本 》（第VII卷，命題i和ii）中，而在 ...

Extended Euclidean algorithm - Wikipedia, the free encyclopedia
In arithmetic and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, which computes, besides the greatest common divisor of integers a and b, the coefficients of ... ...

演算法筆記 - Greatest Common Divisor
Euclid's Algorithm（Euclidean Algorithm） 幾何學之父歐幾里德所發明的「輾轉相除法」，用來求兩個數的最大公因數。幾何學之父原來跟數論也扯得上關係。 由於兩個數 ...

Euclidean Algorithm -- from Wolfram MathWorld
The Euclidean algorithm, also called Euclid's algorithm, is an algorithm for finding the greatest common divisor of two numbers a and b. The algorithm can also be defined for more general rings than just the integers ...

The Euclidean Algorithm - USC: Department of Mathematics
Find the Greatest common Divisor n = m = gcd = LCM: Linear Combination:

Euclidean Algorithm Steps - World News
The Euclidean Algorithm (GCD or GCF), Euclidean Algorithm - An example, Euclidean Algorithm (TANTON_Mathematics), Extended Euclidean Algorithm, Euclid's algorithm made easy, How to Find the Greatest Common ... This ...

Euclidean Algorithm - Math Images - The Math Forum @ Drexel University
The algorithm process is like this: ... ... To sum up, is the gcd of a and b. Note: The Euclidean algorithm is iterative, meaning that the next step is repeated using the result from the last step until it reaches ...

輾轉相除法 - 國立臺灣師範大學 數學系
Theorem 1.3.2 (The Euclidean Algorithm) 假設 a, b 且 a > b. 由除法原理我們知存在 h 0, r 0 使得 a = bh 0 + r 0, 其中 0 r 0 < b. 若 r 0 > 0, 則存在 h 1, r 1 使得 b = r 0 h 1 + r 1, 其中 0 r 1 ...

Polynomials - HowTo: Euclidean algorithm for polynomials
HowTo: Euclidean algorithm for polynomials In this HowTo we will describe the analogue of the euclidean algorithm to compute the greatest common divisor of any two polynomials in . As the name indicates, a greatest ...