IPhone :: Can't Open Every Third-party Applications On 4S

I can't open every applications except all the built-in appplcations (Calendar, Clock etc.), in other words, all third-party applications are crashed when I open them.

I use two accounts (A & B) to download apps, after I change my current account A to another one B, the applications which belongs to B are working, and I try to download a new app it's working too.

When I change account B back to A, B's apps are still working, however all A's applications still crashed. But I downloaded a new app using account A, it's working...

So what can I do about all my existing account A's applications?

Info:
iPhone 4S, iOS 5.1.1, White