Yep, get a Rug Doctor or something. Those are good at sucking out the moisture. I'd use one of those to get out as much as you can, then run some fans. I invested in one of those carpet cleaners a couple of years ago, and it's been really handy. I want to say it ran me something like $130. Fans/hair dryers alone aren't going to be near enough to properly get out that amount of water.
Either way, as others have said, whatever you do, you need to do it quickly. That will become a major problem (to the point where you might have more problems than just the carpet) if you let it sit too long.