You may find that the solvent in the contact adhesive will melt the styrofoam. Here in the States I have used a product called Gorilla Glue. It's easy to apply and you use water as the catalyst to set the curing process in motion. I'm not sure whether you can get it in the UK but you might find it in a hardware store or B & Q.
The one problem with the Gorilla Glue is once the bottle is opened you have to seal it really well otherwise the moisture in the air will cure the rest of it. It's best to buy it in small amounts and use it all in one sitting. Make sure you clamp your foams together or put weights on top or the Gorilla Glue will expand and blow the joint apart. Once it is cured it is the toughest joint you will ever get.
Richardbarry.co.uk under adhesives, the stuff coventry uni uses is there for £57 but there is dunlop stuff for £8 A tube of it from b&q will be cheaper than that
The Gorilla Glue website indicates that the coverage is 1/2 oz per sqare foot so that tells you that you need very little to do the job, also when you navigate the site under Glue Finder select UK to find locations where you can buy the stuff.
Hi there are a couple of glue that can be used to glue polystyrene together. I used to build polystyrene patterns(press tool and foundry patterns) If you are machining or casting the pattern you need to use these special glue.It is only special because it does not melt the styrene when you bond to piece together.Freemanns who make sheetwax make this glue or Burns & CO pattern supplys could stock this glue. It is quite expensive, I have used epoxy resin to glue sheets together. If you any more help feel free to contact me