Longest word (String)

#include <iostream>
using namespace std;
int main()
{
    string word[20];
    string longest;
    cout << "How many words do you wish to check: ";
    int n;
    cin >> n;
    for (int i = 0; i < n;i++) {
        cout << "Enter a word: "<<endl;
        cin >> word[i];
        int min = 1;
        if (word[i].length() > min) {
            min = word[i].length();
            longest = word[i];
        }
    }
    cout << "Longest word is: "<<longest;
}