The totient function of a number is defined as the number of numbers less than that number that do not share a factor with that number.
Define a function totient(a) that computes the totient of a number.
def totient(a):
out = 0
for b in range(a):
if(gcd(a, b) == 1):
out += 1
return out
def gcd(a, b):
while b != 0:
(a, b) = (b, a % b)
return atest.assert_equals(totient(1), 1)
test.assert_equals(totient(2), 1)
test.assert_equals(totient(3), 2)
test.assert_equals(totient(4), 2)
test.assert_equals(totient(5), 4)
test.assert_equals(totient(6), 2)
test.assert_equals(totient(7), 6)
test.assert_equals(totient(8), 4)
test.assert_equals(totient(9), 6)