Problem:
Score : 100 points

Problem Statement

A biscuit making machine produces B biscuits at the following moments: A seconds, 2A seconds, 3A seconds and each subsequent multiple of A seconds after activation.

Find the total number of biscuits produced within T + 0.5 seconds after activation.

Constraints

All values in input are integers.

1 \leq A, B, T \leq 20

Input

Input is given from Standard Input in the following format:

A B T

Output

Print the total number of biscuits produced within T + 0.5 seconds after activation.

Sample Input 1

3 5 7

Sample Output 1

10

Five biscuits will be produced three seconds after activation.

Another five biscuits will be produced six seconds after activation.

Thus, a total of ten biscuits will be produced within 7.5 seconds after activation.

Sample Input 2

3 2 9

Sample Output 2

6

Sample Input 3

20 20 19

Sample Output 3

0

Solution in Python (3.4.3) (judge verdict: Runtime Error)

from fractions import gcd

n = int(input())
a = list(map(int, input().split()))

rs, ls = [0], [0]
for i in range(n-1):
  rs.append(gcd(rs[i], a[i]))
  ls.append(gcd(ls[i], a[-i-1]))

print(max(gcd(r, l) for r, l in zip(rs, ls[::-1])))