Indeed you can measure voltages and calculate the current. But what if the resistance is very small?All ammeters will introduce a resistance in the circuit that could affect circuit operation.
You'll be better off measuring the voltage drop across a resistor and calculating the current.
In all of my decades of working on circuits, I can't remember when I really needed to actually measure current. Calculating the current was always sufficient.
There ARE Amp meters that have NO resistance (clamp meters). Personally I use a UNI-T UT210E. ($60 - 80) It measures as well AC as DC currents in a range of 0 to 100Amp. DC currents below 20mA are not really accurate. If you need accuracy in this range you'll have to spend at least the ten fold...
There are also the Current to Voltage chips. They transform as well AC and DC. Find/check allegromicro for e.g. ACS 712...
internal resistance : 0,6 MILLI-ohm...