import sys

import math

from typing import List, Tuple


def int1(x: str, /): return int(x) - 1


def input(): return sys.stdin.readline().rstrip('\n')


def dbg(*args, **kwargs):
    print(*(repr(arg) for arg in args), *(f'{k}: {repr(v)}' for k, v in kwargs.items()), sep='; ', file=sys.stderr)


def solve2(a, b, t):
    if t >= (a - 1) * (b - 1):
        return t
    ans = -(-t // a) * a
    for i in range(t // a + 1):
        ans = min(ans, i * a + -(-(t - i * a) // b) * b)
    return ans


def solve(a, b, t):
    g = math.gcd(a, b)
    return solve2(a // g, b // g, -(-t // g)) * g


def main():
    a, b, t = map(int, input().split())
    return solve(a, b, t)


def _start():
    ret = main()

    if ret is not None:
        if isinstance(ret, List) or isinstance(ret, Tuple):
            print(*ret)
        else:
            print(ret)


if __name__ == '__main__':
    _start()