Hi, we will be travelling on a cruise ship in March and April 2017

We will be visiting multiple Chinese ports during our cruise - Xiamen 1 day, and a 3 day stay in both Shanghai (docked and staying onboard overnight) and Beijing (overland excursion to Great Wall etc so staying in hotels for 2 nights). What type of visa would we need to cover multiple entries between mid March and early April. Also our starting point is Hong Kong so does that need to be considered as well?

Thankyou