三个或三个以上数字的GCD等于所有数字共有的素数因子的乘积,但也可以通过重复计算成对数字的GCD来计算。
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gcd(a, b, c) = gcd(a, gcd(b, c)) = gcd(gcd(a, b), c) = gcd(gcd(a, c), b)
# GCD of more than two (or array) numbers # This function implements the Euclidian # algorithm to find H.C.F. of two number def find_gcd(x, y): while (y): x, y = y, x % y return x l = [ 2 , 4 , 6 , 8 , 16 ] num1 = l[ 0 ] num2 = l[ 1 ] gcd = find_gcd(num1,num2) for i in range ( 2 , len (l)): gcd = find_gcd(gcd,l[i]) print (gcd) # Code contributed by Mohit Gupta_OMG |
输出:
2
请参阅完整的文章 两个以上(或数组)数的GCD 更多细节!
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