The Russians have always done horizontal integration, putting their rockets together lying on their sides and transporting them to the pads horizontally, then erecting them to vertical at the pad itself. They even did this for the N-1 (though the N-1 required two separate locomotive engines and two sets of rail tracks to pull the rocket and its erector to the pad). SpaceX is using the same integration concept.
In early Apollo planning, while the integration was always planned to be done at a dedicated facility and the vehicle moved to the pad, the concept of horizontal integration was dismissed as presenting too many engineering challenges. Quoting "Apollo" by Murray and Cox, in discussing this issue with Rocco Petrone, they say:
"'With the size of the vehicle we were looking at -- over 360 feet long -- and the umbilical tower it had to have,' Petrone said, 'we just could not see a way to prepare it horizontally and then in its entirety put it up vertically.' There would be bending effects, all kinds of stresses on the vehicle. And they had no choice but to put it up in its entirety, because if they disconnected the umbilicals, then they would lose much of the work they had done in preparing it."
Considering many other rockets -- even ones as large as the N-1 -- were and still are prepared with horizontal integration, were Petrone and the Apollo designers wrong in thinking that bending effects and stresses from horizontal integration would cause massive problems? It would seem that such concerns would not apply just to the Saturn V. If these issues were that difficult to deal with, how do rockets the size of Proton, Angara and Falcon 9 manage it with no problems to speak of?
I've been curious about this for some time... anyone's informed input would be welcome. Heck, even a round of good speculation would be welcome.