一 暴力枚举法 原理:试图寻找一个合适的整数i,看看这个整数能否被两个整形参数numberA和numberB同时整除.这个整数i从2开始循环累加,一直累加到numberA和numberB中较小参数的一半为止.循环结束后,上一次寻找到的能够被两整数整除的最大i值,就是两数的最大公约数. int getGreatestCommonDivisor(int numberA, int numberB) { ||numberB < ) { ; } || numberB <= ) { ; } int max…

欧几里得算法求最大公约数 If A = 0 then GCD(A,B)=B, since the GCD(0,B)=B, and we can stop. If B = 0 then GCD(A,B)=A, since the GCD(A,0)=A, and we can stop. Write A in quotient remainder form (A = B⋅Q + R) Find GCD(B,R) using the Euclidean Algorithm since GCD(A,B)…

Greatest Common Divisor 题目链接 题目描述 There is an array of length n, containing only positive numbers. Now you can add all numbers by 1 many times. Please find out the minimum times you need to perform to obtain an array whose greatest common divisor(gcd…

Problem Introduction The greatest common divisor \(GCD(a, b)\) of two non-negative integers \(a\) and \(b\) (which are not both equal to 0) is the greatest integer \(d\) that divides both \(a\) and \(b\). Problem Description Task.Given two integer \(…

描述 Given two numbers, number a and number b. Find the greatest common divisor of the given two numbers. In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides ea…

题目描述 There is an array of length n, containing only positive numbers.Now you can add all numbers by 1 many times. Please find out the minimum times you need to perform to obtain an array whose greatest common divisor(gcd) is larger than 1 or state th…

UPC备战省赛组队训练赛第十七场 with zyd,mxl G: Greatest Common Divisor 题目描述 There is an array of length n, containing only positive numbers. Now you can add all numbers by many times. Please find or state that it is impossible. You should notice that , you need to…

One efficient way to compute the GCD of two numbers is to use Euclid's algorithm, which states the following: GCD(A, B) = GCD(B, A % B) GCD(A, 0) = Absolute value of A In other words, if you repeatedly mod A by B and then swap the two values, eventua…

定义: 最大公约数(英语:greatest common divisor,gcd).是数学词汇,指能够整除多个整数的最大正整数.而多个整数不能都为零.例如8和12的最大公因数为4. 最小公倍数是数论中的一个概念.若有一个数\[X\],可以被另外两个数\[A\].\[B\]整除,且\[X\]大于(或等于)\[A\]和\[B\],则\[X\]X为\[A\]和\[B\]的公倍数.\[A\]和\[B\]的公倍数有无限个,而所有的公倍数中,最小的公倍数就叫做最小公倍数.两个整数公有的倍数称为它们的公倍数,…

Greatest Greatest Common Divisor Time Limit: 1 Sec  Memory Limit: 256 MB 题目连接 http://acm.hdu.edu.cn/showproblem.php?pid=5207 Description 在数组a中找出两个数ai,aj(i≠j),使得两者的最大公约数取到最大值. Input 多组测试数据.第一行一个数字T,表示数据组数.对于每组数据,第一行是一个数n,表示数组中元素个数,接下来一行有n个数,a1到an.1≤T≤…