39 lines
963 B
Python
39 lines
963 B
Python
from lib_misc import gcd
|
|
|
|
|
|
def is_curious(n, d):
|
|
assert(len(str(n)) == 2 and len(str(d)) == 2)
|
|
if n == d:
|
|
return False
|
|
for i in range(1, 10):
|
|
if str(i) in str(n) and str(i) in str(d):
|
|
try:
|
|
n_ = int(str(n).replace(str(i), ""))
|
|
d_ = int(str(d).replace(str(i), ""))
|
|
except ValueError:
|
|
return False
|
|
try:
|
|
if n_ / d_ == n / d:
|
|
return True
|
|
except ZeroDivisionError:
|
|
return False
|
|
return False
|
|
|
|
|
|
def euler_033():
|
|
fs = [(n, d) for n in range(10, 100)
|
|
for d in range(n, 100) if is_curious(n, d)]
|
|
n = 1
|
|
d = 1
|
|
for n_, d_ in fs:
|
|
n *= n_
|
|
d *= d_
|
|
return d // gcd(n, d)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
assert(is_curious(49, 98) is True)
|
|
assert(is_curious(30, 50) is False)
|
|
print("e033.py: {}".format(euler_033()))
|
|
assert(euler_033() == 100)
|