No it doesn't. And the UK isn't part of the Schengen Agreement.
Meh. The EU abolished the need for a *passport*, if you have a valid ID. Schengen abolished the checks at the borders between those countries: if you're welcome in France, you're assumed to be welcome in Belgium, Germany, Austria and Hungary too.
And please don't cite me Wikipedia, I just did that trip.
Not to UK, that isn't into Schengen