How to generalize the functions, which acting on a vector of (same type)elements?

I'm relatively new to C++ and I can't seem to phrase my question correctly since vectorize and map both have meanings which seem different from what I am looking for (so Googling for a solution is difficult).

I have many functions acting on single objects of arbitrary type. I want a general way (i.e. a template or wrapper function) to convert these to functions acting on vectors of the arbitrary number of objects of the same type. An example:

int func1(int a) {return a+1;}
long func2(long a) {return a*10;}

vector<int> func1(vector<int> a_vec)
{
    vector<int> out_vec;
    for (int i = 0; i < a_vec.size(); i++)
        out_vec.push_back(func1(a_vec[i]));
    return out_vec;
}

vector<long> func2(vector<long> a_vec)
{
    vector<long> out_vec;
    for (int i = 0; i < a_vec.size(); i++)
        out_vec.push_back(func2(a_vec[i]));
    return out_vec;
}

Templates seem to be necessary but I don't have much experience with them yet and have no idea how to apply them in this case. Any references/suggestions/comments welcome. (Also please add relevant tags - since I'm not sure of the correct term for this I'm not sure how to tag it).