Can't log in to icloud on my computer
I've been trying to login to icloud on my Toshiba laptop for over a week, and each time it gives me the error message "Verification failed: There was an error connecting to the Apple Id Server". I've not had any problems previously, and icloud seems to be ok on my iphone which is running iOS 9.3.1.
Initially, I thought it was my password, so I changed that, after answering the security questions, and, obviously, I can log in to Apple ok. I am not a techie, so, besides googling, I don't know where to go from here. Any assistance would be gratefully received.
iPhone 4S, iOS 9.3.1