Constructor of objects in heap array

So, I have an object with a constructor. This object doesn't support empty constructors because there are constants that must be assigned in the constructor. Something like this:

class Object {
public:
    const int foo;

    Object(int f) : foo(f) {
        // other stuff
    }
}

Now I have another function that keeps a dynamically allocated array of objects.

Object* objects;

I need to be able to allocate this memory using new[] and delete[] but also use the constructor. I can't seem to figure out how to do this.

Something like this would be ideal

objects = new Object[numObjects];
for (int i = 0; i < numObjects; ++i) {
    object[i](foos[i]);
}

I could use malloc and free, then new the objects in place, but that would be non ideal as I would have to loop through the objects in the destructor and manually destruct them, then free the memory. Seems messy.