check an input integer or double by c++

#include<iostream>
using namespace std;

int main()
{
    double a;
    cout << "Enter the number: ";
    cin >> a;
    int b = (int)a;
    if((a / b) == 1)
        cout << "Integer" << endl;
    else
        cout << "Double" << endl;
    return 0;
}

///ahmed shuvo969