A_Paint_the_Numbers.cpp

#include <bits/stdc++.h>
using namespace std;

#define fr(i, n) for (lli i = 0; i < n; i++)
#define pb push_back
#define sz(x) x.size()
#define ff first
#define ss second
#define all(v) v.begin(), v.end()
#define debug(x) cout << '>' << #x << ':' << x << endl;

using lli = long long int;
using ld = long double;
using ii = pair<lli, lli>;
using vii = vector<ii>;
using vi = vector<lli>;
using bl = bool;
using mp = map<lli, lli>;
using ump = unordered_map<lli, lli>;
using str = string;

#pragma GCC optimize("unroll-loops,O3,Ofast")
#pragma GCC target("avx2,avx,fma,bmi,bmi2,lzcnt,popcnt")

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    lli t;
    cin >> t;

    vi st(t); 
    fr(i, t) {
        cin >> st[i]; 
    }

    
    sort(all(st));

    lli cnt = 0; 

    
    while (!st.empty()) {
    
        int smallest = st[0];
        cnt++; 

  
        vi remaining; 
        for (int i = 0; i < sz(st); i++) {
            if (st[i] % smallest != 0) {
                
                remaining.push_back(st[i]);
            }
        }
        
     
        st = remaining;
    }

    
    cout << cnt << endl;

    return 0;
}