id,node_id,number,title,user,state,locked,assignee,milestone,comments,created_at,updated_at,closed_at,author_association,active_lock_reason,draft,pull_request,body,reactions,performed_via_github_app,state_reason,repo,type
1600364072,I_kwDOAMm_X85fY54o,7560,xr.merge does not respect datatypes of inputs,13491008,open,0,,,3,2023-02-27T02:52:39Z,2023-03-01T19:00:35Z,,NONE,,,,"### What happened?

I have noticed a behaviour when using xr.merge to combine results where the datatype of the inputs are changed on the output to float.

This is undesirable at times, in particular when the results are to be used to index into an array.



### What did you expect to happen?

Expected the datatypes to be preserved.

### Minimal Complete Verifiable Example

```Python
subsets = []
for i in range(10):
    subsets.append(xr.DataArray([i,],dims=['idx'],coords={'idx':[i,]},name='da'))

display(subsets[0].dtype)

merged=xr.merge(subsets)

display(merged)
display(merged.da.dtype)
```


### MVCE confirmation

- [X] Minimal example — the example is as focused as reasonably possible to demonstrate the underlying issue in xarray.
- [X] Complete example — the example is self-contained, including all data and the text of any traceback.
- [X] Verifiable example — the example copy & pastes into an IPython prompt or [Binder notebook](https://mybinder.org/v2/gh/pydata/xarray/main?urlpath=lab/tree/doc/examples/blank_template.ipynb), returning the result.
- [X] New issue — a search of GitHub Issues suggests this is not a duplicate.

### Relevant log output

```Python
dtype('int32')

<xarray.Dataset>
Dimensions:  (idx: 10)
Coordinates:
  * idx      (idx) int32 0 1 2 3 4 5 6 7 8 9
Data variables:
    da       (idx) float64 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0

dtype('float64')
```


### Anything else we need to know?

_No response_

### Environment

<details>
INSTALLED VERSIONS
------------------
commit: None
python: 3.10.9 | packaged by conda-forge | (main, Jan 11 2023, 15:15:40) [MSC v.1916 64 bit (AMD64)]
python-bits: 64
OS: Windows
OS-release: 10
machine: AMD64
processor: Intel64 Family 6 Model 154 Stepping 3, GenuineIntel
byteorder: little
LC_ALL: None
LANG: None
LOCALE: ('English_Australia', '1252')
libhdf5: 1.12.1
libnetcdf: 4.8.1

xarray: 2023.1.0
pandas: 1.5.2
numpy: 1.23.5
scipy: 1.10.0
netCDF4: 1.6.2
pydap: None
h5netcdf: None
h5py: None
Nio: None
zarr: 2.13.6
cftime: 1.6.2
nc_time_axis: None
PseudoNetCDF: None
rasterio: None
cfgrib: None
iris: None
bottleneck: 1.3.5
dask: 2023.1.1
distributed: 2023.1.1
matplotlib: 3.6.2
cartopy: None
seaborn: 0.12.2
numbagg: None
fsspec: 2023.1.0
cupy: None
pint: None
sparse: None
flox: None
numpy_groupies: None
setuptools: 65.6.3
pip: 22.3.1
conda: None
pytest: None
mypy: None
IPython: 8.9.0
sphinx: None
</details>
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