ТЧ

fraction.py

from fractions import Fraction

# a, b = map(int, input('Write a/b\n').split('/'))
# alpha = Fraction(a, b)
alpha = 2 ** 0.5
temp = alpha
counter = 0
q_list = []
while counter < 15:
    int_temp = int(temp)
    # print(int_temp)
    q_list.append(int_temp)
    try:
        temp = (temp - int_temp) ** -1
    except ZeroDivisionError:
        break
    counter += 1

P_list = [1, q_list[0]]
Q_list = [0, 1]

index = 2
for q in q_list[1:]:
    cur_P = q * P_list[index - 1] + P_list[index - 2]
    cur_Q = q * Q_list[index - 1] + Q_list[index - 2]
    P_list.append(cur_P)
    Q_list.append(cur_Q)
    index += 1

print(q_list, P_list, Q_list, sep='\n')