Copy select options to onother one except option selected in the first one

Using jquery I need to create several select. Each of them have to copying the previous select options except the ones already selected by the user. Note: This will happen each time any of the option selected change.

Pick option #1

<select id='select1'>
<option selected>Option 1</option>
<option>Option 2</option>
<option>Option 3</option>
</select>

Result: then Pick option #2

<select id='select2'>
<option selected>Option 2</option>
<option>Option 3</option>
</select>

Result

<select id='select3'>
<option>Option 3</option>
</select>