Manipulating a switch statement to reduce duplication of code may work at first, but then you may add additional cases to the switch later, which may break that cleanness of that optimization. For example:
switch(condition)
case 'A' :
// Code part A
break;
case 'B' :
// Code part A
// Code part B
break;
case 'C' :
// Code part C
break;
case 'D' :
// Code part A
// Code part D
break;
Suddenly an optimization which seemed nice at the time, starts to become difficult to maintain, difficult to read and error prone.
Having already determined that there is common code, the cleanest response in my view is to write functions to perform the common code and call from each case. Going forward, this will continue to be maintainable.