Problem p01892 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <algorithm>
#include <array>
#include <cmath>
#include <complex>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define vi vector<int>
#define vvi vector<vector<int>>
#define ll long long int
#define vl vector<ll>
#define vvl vector<vector<ll>>
#define vb vector<bool>
#define vc vector<char>
#define vs vector<string>
#define ld long double
#define INF 1e9
#define EPS 0.0000000001
#define rep(i, n) for (int i = 0; i < n; i++)
#define loop(i, s, n) for (int i = s; i < n; i++)
#define all(in) in.begin(), in.end()
template <class T, class S> void cmin(T &a, const S &b) {
  if (a > b)
    a = b;
}
template <class T, class S> void cmax(T &a, const S &b) {
  if (a < b)
    a = b;
}
#define MAX 9999999
using namespace std;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<ll, ll> pll;
#define int ll
signed main() {
  int a, b, n;
  cin >> a >> b >> n;
  int ans = INF * INF;
  for (int i = 1; i <= 100; i++) {
    for (int j = 1; j <= 100; j++) {
      if (i > n || j > n)
        continue;
      if (b * j % i)
        continue;
      cmin(ans, abs(abs(a - b * j / i)));
    }
  }
  cout << ans << endl;
}

Error: TLE

Fixed submission:

#include <algorithm>
#include <array>
#include <cmath>
#include <complex>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define vi vector<int>
#define vvi vector<vector<int>>
#define ll long long int
#define vl vector<ll>
#define vvl vector<vector<ll>>
#define vb vector<bool>
#define vc vector<char>
#define vs vector<string>
#define ld long double
#define INF 1e9
#define EPS 0.0000000001
#define rep(i, n) for (int i = 0; i < n; i++)
#define loop(i, s, n) for (int i = s; i < n; i++)
#define all(in) in.begin(), in.end()
template <class T, class S> void cmin(T &a, const S &b) {
  if (a > b)
    a = b;
}
template <class T, class S> void cmax(T &a, const S &b) {
  if (a < b)
    a = b;
}
#define MAX 9999999
using namespace std;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<ll, ll> pll;
#define int ll
int gcd(int m, int n) {
  if ((0 == m) || (0 == n))
    return 0;
  while (m != n) {
    if (m > n)
      m = m - n;
    else
      n = n - m;
  }
  return m;
}
int lcm(int m, int n) {
  if ((0 == m) || (0 == n))
    return 0;

  return ((m / gcd(m, n)) * n);
}
signed main() {
  int a, b, n;
  cin >> a >> b >> n;
  for (int i = 0;; i++) {
    int ca = gcd(a + i, b);
    if ((a + i) / ca <= n && (b) / ca <= n) {
      cout << i << endl;
      return 0;
    }
    if (a - i < 1)
      continue;
    ca = gcd(a - i, b);
    if ((a - i) / ca <= n && (b) / ca <= n) {
      cout << i << endl;
      return 0;
    }
  }
}