数学定义:
最大公因数,也称最大公约数、最大公因子,指两个或多个整数共有约数中最大的一个。a,b的最大公约数记为(a,b),同样的,a,b,c的最大公约数记为(a,b,c),多个整数的最大公约数也有同样的记号。求最大公约数有多种方法,常见的有质因数分解法、短除法、辗转相除法、更相减损法。与最大公约数相对应的概念是最小公倍数,a,b的最小公倍数记为[a,b]。
用java语言编程实现,输入两个数,用循环语言遍历判断两个数的公约数,记录最大公约数,输出最大公约数
代码如下:
测试:
18
24
18和24的最大公约数是6
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