I travel a lot. It comes to about 70% of my monthly expenditures! I would suggest, if you want to go light (at least light for me), that you take something like the following (depending upon, of course, your specific style or likes):
1 Wide Angle Zoom like the 16-35 (You will always want context shots and these are hard to get in cities without wide angle)
1 Medium Zoom like the 24-70 (Great all around - 50% of time on camera)
1 Longer range prime like 85/1.2 or 135/2 (great for street photography when you want to stay back from folks and shoot. Also good for portraits and low light, DOF, etc)
1 body and 3 lenses can be enough. You can leave the 70-200 and its travel weight at home. Great lens, but walking the streets of tokyo? You'll come to hate it!
My 2cents. Have a great trip!!!