Hong Kong police have shot at least one protester as anti-government demonstrators vandalised property and clashed with police in outbreaks of violence throughout the city.In video captured by local media on Monday, a police officer struggling to subdue a protester fired three live rounds at demonstrators in Sai Wan Ho in north-eastern Hong Kong. One demonstrator, who did not appear to be armed, was shot at close range in the torso and fell to the ground.