The UK does not use a European power cable. We use a three pin plug.
The cable you are after is commonly referred to as a kettle lead
. You will be able to pick one up really easily when you are here.
As for whether or not the PSU will actually work or not I'm somewhat unsure. It's my understanding that the US uses a different voltage than the UK. However, from a manufacturing perspective it makes more sense to produce a single unit agnostic to location and just have users use different cables.