You shouldn't have any problems with the laptop from the input voltage ranges allowed in your power adapter. It should take input voltages from 100V and up to 240V. You should also check the amp - is that the right word for it...? - allowed, though; I believe that Tokyo is 110V and 50 Hz, but other parts of Japan use 110V and 60Hz.
I had no problems using the same adapter that came with my laptop in the U.S., U.K., or Japan, and mine reads the same (voltage-wise). Amplitude caused no problems for me either, but you should still check yours.
You will need, however, an adapter for the plug itself. The power outlet here is for two-pronged non-safety plugs, and both are identical (thin and rectangular). It won't fit the U.K. power plug.
If you can't find an adapter in the U.K., shops in Akihabara will have them. While looking for an adapter for the three-pronged safety power plug in my laptop, I came across quite a few for the U.K. models; Laox, for one, had them a few weeks ago.