Along with the size of container and number of cigars, it would also depend on just how sealed the container is and what the ambient rH is. I doubt anyone can give you anything more than a really rough educated guess.
My guess is that it would take on the order of months to do irreparable damage to the cigars, especially if you have a decently sealed container. They might need a bit of time to bright the rH up in them if they've been like that for a while, but a week or two probably won't make a big difference in their moisture content.