Recognising BlightThe foliage (otherwise known as haulms) typically develops brown patches with a white or yellowish 'halo' of spores around these patches when the weather is damp or humid. The leaves themselves can also become yellow.
Cut off and destroy (do not compost) the haulms as soon as you ascertain it is blight (see picture for reference, though many more are available on google and yours may look slightly different to this picture). This will stop the blight spores entering the tubers (potatoes).
Leave the potatoes in the ground for at least a week to allow them to build up a tougher skin that will help with storage.
http://en.wikipedia.org/wiki/File:Symptom_potato_late_blight.jpgHowever, destroy any damaged tubers including those with a noticable rotting smell
http://en.wikipedia.org/wiki/File:Phytophtora_infestans-effects.jpgThere are blight tester kits available on the internet that you may wish to purchase to confirm blight before you remove the foliage.