求最大公约数的欧几里德算法,也称作辗转相除法,如下:
int GetGCD(int m, int n)
{
    if (n = 0)
    {
        return m;
    }
    return GetGCD(n, m % n);
}
(GCD = Greatest Common Divisor)
比如
    GetGCD(18, 24)
-> GetGCD(24, 18)
-> GetGCD(18, 6);
-> GetGCD(6, 0);
-> return 6;
----------------------------------------
另外,最小公倍数 = 两数之积 / 最大公约数
所以 GetLCM(m, n) = m * n / GetGCD(m, n)
(LCM = Least Common Multiple)
比如
GetLCM(18, 24) = 18 * 24 / 6 = 72
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30 January 2011
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