数论(1):最大公约数和最小公倍数(Gcd&Lcm)

本文深入探讨了数学中的两个基本概念——最大公约数与最小公倍数,详细解释了它们的定义、性质及计算方法。

Greatest common divisor
 In mathematics, the greatest common divisor (gcd) of two or more integers, when at least one of them is not zero, is the largest positive integer that divides the numbers without a remainder.

 

Least common multiple
 In arithmetic and number theory, the least common multiple (also called the lowest common multiple or smallest common multiple) of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.

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