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)

def gcd(a, b):
    while b != 0:
        a, b = b, a % b
    return a


N = int(input())
A = list(map(int, input().split()))
L = [0 for i in range(N)]
R = [0 for i in range(N)]
T = [0 for i in range(N)]

for i in range(N):
    if i == 0:
        L[i] = 0
    else:
        L[i] = gcd(L[i-1], A[i-1])
for i in range(N-1, 0, -1):
    if i == N-1:
        R[i] = 0
    else:
        R[i] = gcd(R[i+1], A[i+1])
for i in range(N):
    T[i] = gcd(L[i], R[i])

print(max(T))