def test_for_amicability(number, set_of_amicable):
if number in set_of_amicable:
return
test_pair = sum(euler.iterator_divisors(number))
if test_pair in set_of_amicable or test_pair == number:
return
test_number = sum(euler.iterator_divisors(test_pair))
if test_number == number:
set_of_amicable.add(number)
set_of_amicable.add(test_pair)
def problem33():
fractions = find_curious_fractions()
if len(fractions) != 4:
raise ValueError('Expected four fractions')
numerator = 1
denominator = 1
for f in fractions:
numerator *= f[0]
denominator *= f[1]
print 'product of fractions is {0}/{1}'.format(numerator, denominator)
divisors_numerator = set((x for x in euler.iterator_divisors(numerator, include_self=True)))
divisors_denominator = sorted((x for x in euler.iterator_divisors(denominator, include_self=True)))
divisor = 0
for x in reversed(divisors_denominator):
if x in divisors_numerator:
divisor = x
break
if divisor > 0:
return denominator/divisor
return denominator
