We will be traveling to Sweden, Denmark, and Norway beginning in late July. Will a single continental Europe adapter work in all 3 countries, or should we think about getting country specific adapters? I realize this type of question has probably been asked and answered dozens of times in these forums, but I haven't yet learned how to do searches of prior posts that allows me to zero in on this type of information.
Yes, all those use the continental europe adapter.
https://www.ricksteves.com/travel-tips/phones-tech/electric-adapters-converters
Sweden and Norway both use the same sockets, F (also known as Schuko or simply "the German standard"). Denmark has their own, slightly different, sockets, K. But for unearthed equipment a Europlug will work in all three countries.