Python 求最小公倍数和最大公约数的递归写法

# 最小公倍数
def lcm(a, b, c=1):
        if a * c % b != 0:
                return lcm(a, b, c+1)
        else:
                return a*c

test_cases = [(4, 8), (35, 42), (5, 7), (20, 10)]
for case in test_cases:
    print('lcm of {} & {} is {}'.format(*case, lcm(*case)))

def lcm(a, b):
    for i in range(2, min(a,b)+1):
        if a % i == 0 and b % i == 0:
            return i * lcm(a//i, b//i)
    else:
        return a*b


    
test_cases = [(4, 8), (5, 7), (24, 16), (35, 42)]
for case in test_cases:
    print('lcm of {} & {} is {}'.format(*case, lcm(*case)))

# 最大公约数
def gcd(a, b):
	if a == b:
		return a
	elif a-b > b:
		return gcd(a-b, b)
	else:
		return gcd(b, a-b)
	    
test_cases = [(35, 14