The time it takes to create a production-ready ASIC is not constrained by processing power; it's not something that you can speed up by throwing more computers at it.
The one year benchmark is a rough estimate of the total time needed for an ASIC of low to moderate complexity, designed by a small team of experienced engineers (say, around five of them, with various different specializations), based on my experience in the industry, both directly working on ASIC designs and in other roles related to development, test, support, etc. It's hard to explain where all of that time and money goes to somebody without direct experience in the field, but I'll try to throw out examples of some of the major costs and time-drains. This list is nowhere near exhaustive... bringing an ASIC design from concept through production readiness is a terribly complex task which involves direct action by many dozens of people over a long period of time.
First, the engineers. Experienced ASIC engineers don't come cheap. They'll expect six-figure salaries, and if you don't want to give them that, then they'll go work for somebody else. They also won't just go work on a one-off project like this without some strong incentive, if it means leaving a large, profitable company with good compensation, benefits and stability. For an ASIC comparable to a scaled-up version of the FPGA designs discussed in this thread, I'd estimate that 4-6 engineers would work on it directly. One would be dedicated to physical design (place and route, managing the foundry libraries for the other engineers, etc.). One would be dedicated to production and testing. Then one to three would work on the design itself. So, there are 3-5 expensive, skilled, experienced people who each expect to make north of a hundred grand a year plus benefits (and they will earn that pay with long hours and a lot of difficult work). If you want them to work as contractors and then go away, rather than staying at your company for several years, then double their pay.
Then, there's a mask set for each release to the chip foundry. If your team is very skilled, very careful, and very lucky, they might come up with a production ready part on the first try, but it's safer to assume at least two mask sets. Guess what: a full mask set for a fairly recent process will cost around a quarter million dollars. Prices can be lower, particularly if you share the wafer with other jobs (usually called a "shuttle run" in the industry), but it's still Real Money.
Ok, those engineers are expensive already, but they can't do anything without tools. If you haven't been exposed to the semiconductor industry before, you might be utterly stunned by the cost of ASIC design software. That team of 3-5 engineers will probably need over $50k per year for their software licenses. They'll also need computers to run that software on. And somewhere to work. Heating and air conditioning are nice, but it's amazing what horrible conditions people will put up with if there is enough money in it. Don't skimp on coffee, soft drinks and snacks, though because that investment really pays off in increased productivity.
The team will probably spend three or four months on the design of a chip that's basically a scaled up version of the FPGA designs discussed in this thread, including design, simulation, place and route, timing closure, packaging, bond-out, and all of the other stuff needed. Once they release the design to the chip foundry (called "taping out"), it'll take a couple of months before the first silicon arrives. Of course, you need to keep paying the engineers while you're waiting if you want them to be around to debug the chip when it arrives. Of course, folks aren't just sitting on their hands doing nothing while the chips are being made; there's also the production test program that needs to be developed.
Once the first silicon arrives, you'll be spending some quality time in the lab debugging the chip, and hopefully finding work arounds for any bugs that let you avoid an expensive and time consuming design spin. Remember, the ASIC equivalent of typing "make" costs a quarter million bucks and takes a couple of months. Presumably, you had the foresight to design any needed PCBs for the chip bring-up effort in the lab. You'll probably be amazed by the cost of the production test board and its socket.
Oh, yeah, you'll also need some expensive test equipment for the lab work. We're talking about a GHz chip here, so a $100 logic analyzer from SparkFun won't cut it. Luckily, the test equipment can be rented instead of bought, saving you tens of thousands of dollars (but still costing you thousands of dollars).
After you spend all of this time, if you have done everything right, you now have a working chip design. Now you get to start manufacturing the chips and trying to sell them. And dealing with customer support. And production issues. And testing. And returns. By the time all is said and done, it's not worth starting the job unless you expect to sell several millions of dollars worth of chips to the manufacturers who make products that use them.
I'm sure I've missed a lot of details, but I hope that this has helped explain a little bit of what's involved in making an ASIC.