Macbook becomes incredibly hot during use

[mauve]

I have a 3-month-old Macbook Pro with 15" retina display, and I've noticed it gets REALLY hot on the keyboard and metal edge near the hinge when I play games on it, even when I'm putting it on a solid surface like Apple suggests. The problem also occurs sometimes when I'm watching youtube videos, and occasionally when I'm just charging the battery (the charger itself heats up too). It's not hot enough to physically burn me, but it certainly feels like it comes close-- There's times where it's actually mildly painful to touch the keys on the left side of the keyboard.

Considering I bought this thing so I'd have something portable that could run Final Cut Pro, the fact that Minecraft is enough to make it overheat is pretty disappointing. I actually went out of my way to buy the version with the most RAM, etc so it would have a better chance of running said software.

I looked at Apple's support site and found several people with similar problems, although most of them were for the 2011 model. The general response was "Meh. It's within an acceptable range of heat. Deal with it." Does anyone know if this is a common issue and whether I should bother to take it in? I kinda hate to send it in for repairs/examination around Christmas since everyone and their brother will be turning in their new iPhone/iPad/macbook/all-in-one for support then. On the other hand, I'd like to make sure the heat isn't damaging my computer. My sister's sending hers back to Apple for a battery issue and a dead pixel on the monitor, and she's only had hers for about a month longer than I've had mine. So I'm a little disappointed with that too.

Any advice, computery-types of NPF?